Question

Hey guys!!

Prove : H.C.F (ca,cb) = c * H.C.F(a,b).

{ where c belongs to Natural numbers (N)}

please answer if you know..

Don't want spam answers..

Answer 1

Hey


To prove :-
HCF ( ca , cb ) = c * HCF ( a , b ) .

Proof :-
Let's find HCF of a and b
a = a * 1
b = b * 1
So , HCF ( a , b ) = 1 .

Now ,
HCF of ca and cb .
ca = c * a
cb = c * b
So , HCF ( ca , cb ) = c
=> HCF ( ca , cb ) = c * 1
=> HCF ( ca , cb ) = c * HCF ( a , b )


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Answer 2

Hello Genius,

Your solution is in the attachment.

Hope it helps you :))