Question

49, 42, 91,Find g.c.d. and l.c.m.

Answer 1

GCD (Greatest common divisior) (HCF) (Highest Common Factor) of two or more numbers= Product of the smallest Power of each common prime factor involved in the numbers.
LCM (least common multiple) of two or more numbers = product of the highest Power of each factor involved in the numbers.
SOLUTION :
49, 42, 91
Prime factors of 49 = 7²
Prime factors of 42 = 2 × 3¹ ×7
Prime factors of 91 = 7 ×13

GCD (49, 42, 91) = 7
LCM (49, 42, 91) = 7 × 7 × 3 × 13 × 2= 3822
LCM (49, 42, 91) = 3822

Hence, the GCD is 7 & LCM is 3822

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Hi ,

49 = 7²

42 = 2 × 3 × 7

91 = 7 × 13

HCF ( 49 , 42 , 91 ) = 7

[ The product of the smallest power of

each common prime factor in the numbers ]

LCM ( 49 , 42 , 91 ) = 2 × 3 × 7² × 13

= 3822

[ product of the greatest power of each

prime factor , involved in the numbers ]

I hope this helps you.

: )