Question

HCF by division method : 234,538,678

Answer 1

HCF of 234 and 538
Step 1: divide 538 by 234, we get 70 as remainder
Step 2:divide 234 by 70 , we get 24 as remainder 
Step 3:divide 70 by 24 , we get 22  as remainder 
Step 4:divide 24 by 22 , we get 2 as remainder
Step 5:divide 22 by 2 , we get 0 as remainder  

So, 2 is the HCF of 234 and 538

HCF of 538 and 678
Step 1:divide 678  by 538 , we get 140 as remainder
Step 2:divide 538 by 140 ,  we get 118 as remainder
Step 3:divide 140  by 118 ,   we get 22 as remainder
Step 4:divide 118   by 22 ,   we get 8 as remainder 
Step 5:divide 22   by 8 ,     we get 6 as remainder 
Step 6:divide 8     by 6 ,     we get 2 as remainder
Step 7:divide 6     by 2 ,     we get 0 as remainder  


So, 2 is the HCF of  538 and 678

So 2 is the HCF of all three