(r^a)*(s^b) and (r^b)*(s^a)
apply GCF*LCM=(r^a)*(s^b) x (r^b)*(s^a)
GCF=(r^a)*(s^b) x (r^b)*(s^a) /LCM = r^(a+b) * s^(a+b) /LCM = (r*s)^(a+b) /LCM
CGF could be any fraction of the expression above, among the answer choices it's B or E to understand which one is correct we note GCF is the greatest common factor and 0<a<b, hence it's (r^b)*(s^b)
b
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Source: Beat The GMAT — Problem Solving |
Pemdas wrote:
CGF could be any fraction of the expression above, among the answer choices it's B or E to understand which one is correct we note GCF is the greatest common factor and 0<a<b, hence it's (r^b)*(s^b)
As 0<a<b i.e. a is common.
So greatest common factor should be (r^a)*(s^a)
Please correct, if I am wrong.
