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If the least common multiple of a and b is 120, and the ratio of a to b is 3:4, then what is their greatest common divisor?

 Mar 31, 2021
edited by calvinbun  Mar 31, 2021
 #1
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The gcd of a and b is 5.

 Mar 31, 2021
 #2
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a / b  =  3  / 4

 

a =  (3/4)b

 

Divisors  of 120

 

1  2  3  4  5  6  8  10  12  15  20  24   30  40   60   120

 

a  =  30      b  =  40

 

gcd   =    5

 

 

cool cool cool

 Mar 31, 2021

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