If $a,b,c$ are any three positive integers, Is it true that $HCF(HCF(a,b),c)=HCF(a,HCF(b,c))$
Case $1.$ if atleast one of $a,b,c$ is equal to ONE , then the claim is True.
case $2.$ If every pair is Relatively Prime then the Claim is True
But i will get lot of cases? Any HINT to prove or any counter example to disprove the claim?