the HCF of x5y2 and x2y7
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Step-by-step explanation:
since x and y are prime they cannot be factorized further
a=x5y2 and b=x2y3
1st dividing continuously by x
a/x=x4y2⇒a/x2=x3y2⇒....⇒a/x5=y2 cannot be further divided by x
for b
b/x=xy3⇒b/x2=y3 cannot be further divided by x
for a its x5 and for b its x2
HCF=x2
same for y
for a its y2 and for b its y3
HCF=y2
HCF(a,b)=x2*y2
=x2y2
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