If HCF of a and 4 is 2 and HCF of b and 4 is 2, find HCF of (a+b) and 4.
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Given that gcd(a,4)=2 &(b,4)=2
➡ a=2m (where m is odd )
& b=2n (where n is odd )
Therefore,gcd(a+b,4)=gcd{2(m+n),4}
=2(since m+n is odd number)
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