Question

The HCF of 95 and 152, is
(a) 57
(b) 1
(c) 19
(d) 38

Answer 1

SOLUTION :  

Option (c) is correct : 19

Given : Two numbers 95 & 152

HCF by prime factorization method :  

Factors of 95 & 152 are as follows :  

95 = 5 × 19

152 = 2³ × 19

HCF (95,152) = 19  

Hence, the HCF (95,152) = 19  

★★HCF : HCF of two or more numbers =  product of the smallest power of each common prime factor involved in the numbers.

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

152=95*1+57
95=57*1+38
57=38*1+19
38=19*2+0
so HCF is 19
option c