Question

40, 60, 80,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 :
40, 60, 80
Prime factors of 40 = 2³ × 5
Prime factors of 60 = 2² × 3¹ × 5
Prime factors of 80 = 2⁴ × 5¹

GCD (40, 60, 80) = 2² × 5 = 4 × 5 = 20
GCD (40, 60, 80) = 20
LCM (40, 60, 80) = 2⁴ × 5 × 3= 16× 15 = 240
LCM (40, 60, 80) = 240

Hence, the GCD is 20 & LCM is 240

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Hi ,

We have 40 = 2³ × 5

60 = 2² × 3 × 5

80 = 2⁴ × 5

HCF ( 40,60,80 ) = 2² × 5

[ Product of the smallest power of each

common factors of the numbers ]

= 20

LCM( 40,60,80 ) = 2⁴ × 3 × 5

[ Product of the greatest power of

each prime factors of the numbers ]

= 240

I hope this helps you.

: )