The GCF of unknown monomials

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There are three monomials such that the greatest common factor of the first and second monomials is $2xy$, and the greatest common factor of the second and third monomials is $2x^2y$. What is the greatest common factor of the three monomials?

polynomials factoring greatest-common-divisor

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edited Aug 3 at 2:52

Math Lover

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asked Aug 3 at 1:19

Billy

22

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  What are your thoughts on the problem? What have you tried so far?
  – Matt
  Aug 3 at 1:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
  – Billy
  Aug 3 at 1:27
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

There are three monomials such that the greatest common factor of the first and second monomials is $2xy$, and the greatest common factor of the second and third monomials is $2x^2y$. What is the greatest common factor of the three monomials?

polynomials factoring greatest-common-divisor

share|cite|improve this question

edited Aug 3 at 2:52

Math Lover

12.2k21132

asked Aug 3 at 1:19

Billy

22

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  What are your thoughts on the problem? What have you tried so far?
  – Matt
  Aug 3 at 1:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
  – Billy
  Aug 3 at 1:27
  
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

up vote
0
down vote

favorite

There are three monomials such that the greatest common factor of the first and second monomials is $2xy$, and the greatest common factor of the second and third monomials is $2x^2y$. What is the greatest common factor of the three monomials?

polynomials factoring greatest-common-divisor

share|cite|improve this question

edited Aug 3 at 2:52

Math Lover

12.2k21132

asked Aug 3 at 1:19

Billy

22

There are three monomials such that the greatest common factor of the first and second monomials is $2xy$, and the greatest common factor of the second and third monomials is $2x^2y$. What is the greatest common factor of the three monomials?

polynomials factoring greatest-common-divisor

share|cite|improve this question

edited Aug 3 at 2:52

Math Lover

12.2k21132

asked Aug 3 at 1:19

Billy

22

share|cite|improve this question

share|cite|improve this question

edited Aug 3 at 2:52

Math Lover

12.2k21132

edited Aug 3 at 2:52

Math Lover

12.2k21132

edited Aug 3 at 2:52

Math Lover

12.2k21132

12.2k21132

asked Aug 3 at 1:19

Billy

22

asked Aug 3 at 1:19

Billy

22

asked Aug 3 at 1:19

Billy

22

22

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  What are your thoughts on the problem? What have you tried so far?
  – Matt
  Aug 3 at 1:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
  – Billy
  Aug 3 at 1:27
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  What are your thoughts on the problem? What have you tried so far?
  – Matt
  Aug 3 at 1:21
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  @Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
  – Billy
  Aug 3 at 1:27
  
  

  
  
  
  

1

1

What are your thoughts on the problem? What have you tried so far?
– Matt
Aug 3 at 1:21

What are your thoughts on the problem? What have you tried so far?
– Matt
Aug 3 at 1:21

@Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
– Billy
Aug 3 at 1:27

@Matt I thought that the answer would be 2x^2y / 2xy, but I don't think that the answer would simply be 'x'.
– Billy
Aug 3 at 1:27

add a comment | 

1 Answer
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0
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accepted

Given the GCD of first and second monomials is $2xy$ and the GCD of the second and third monomials is $2x^2y$.

You just need to pick the biggest factors that both of them share.

So, $2xy$ and $2x^2y$ have the common factor $2xy$

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

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1 Answer
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1 Answer
1

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oldest

votes

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up vote
0
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accepted

Given the GCD of first and second monomials is $2xy$ and the GCD of the second and third monomials is $2x^2y$.

You just need to pick the biggest factors that both of them share.

So, $2xy$ and $2x^2y$ have the common factor $2xy$

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

add a comment | 

up vote
0
down vote



accepted

Given the GCD of first and second monomials is $2xy$ and the GCD of the second and third monomials is $2x^2y$.

You just need to pick the biggest factors that both of them share.

So, $2xy$ and $2x^2y$ have the common factor $2xy$

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

add a comment | 

up vote
0
down vote



accepted

up vote
0
down vote



accepted

Given the GCD of first and second monomials is $2xy$ and the GCD of the second and third monomials is $2x^2y$.

You just need to pick the biggest factors that both of them share.

So, $2xy$ and $2x^2y$ have the common factor $2xy$

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

Given the GCD of first and second monomials is $2xy$ and the GCD of the second and third monomials is $2x^2y$.

You just need to pick the biggest factors that both of them share.

So, $2xy$ and $2x^2y$ have the common factor $2xy$

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

share|cite|improve this answer

share|cite|improve this answer

answered Aug 3 at 1:23

Key Flex

3,683422

answered Aug 3 at 1:23

Key Flex

3,683422

answered Aug 3 at 1:23

Key Flex

3,683422

3,683422

add a comment | 

add a comment | 

 

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