Question

Find HCF and LCM of 112 and 86 . Show that 112×86=HCF×LCM

Answer 1

Answer:

Step-by-step explanation:

Prime factors of 112 and 86

112 = 2 × 2 × 2 × 2 × 7 = 2^4 × 7 (" ^ " means to the power of )

86 = 2 × 43

HCF of ( 112 , 86 ) = 2 ( Product of the smallest power in each common prime factor of the numbers ).

LCM of ( 112 , 86 ) = 2^4 × 43 × 7 = 16 × 43 × 7 = 4816. ( Product of the greatest power of the each prime factor of numbers ).

HCF of ( 112 ,86 ) × LCM of ( 112, 86 ) = 112 × 86

2 × 4816 = 9632

9632 = 9632.

Hence it is proved.