T8 Find HCF and LCM of 336 and 54, and verify thatHeFxLCM Product of t

1.	T8 Find HCF and LCM of 336 and 54, and verify thatHeFxLCM Product of the two given numbers.
Answer» First find prime factors of 336 and 54 336 = 2, 2, 2, 2, 3, 754 = 2, 3, 3, 3 HCF ( 336 , 54 ) = 2 × 3 = 6 LCF( 336 , 54 ) = 2^4 × 3^3 × 7 = 3024 We know that , For any two positive integers a and b . HCF( a , b ) × LCM( a , b ) = a × b Verification : HCF( 336 , 54 ) × LCM( 336 , 54 ) = 6 × 3024 = 18144 -----( 1 ) a × b = 336 × 54 = 18144 ----( 2 ) Therefore , ( 1 ) = ( 2 )Hence proved

T8 Find HCF and LCM of 336 and 54, and verify thatHeFxLCM Product of the two given numbers.

Answer»

First find prime factors of 336 and 54

336 = 2, 2, 2, 2, 3, 754 = 2, 3, 3, 3

HCF ( 336 , 54 ) = 2 × 3 = 6

LCF( 336 , 54 ) = 2^4 × 3^3 × 7 = 3024

We know that ,

For any two positive integers a and b .

HCF( a , b ) × LCM( a , b ) = a × b

Verification :

HCF( 336 , 54 ) × LCM( 336 , 54 )

= 6 × 3024

= 18144 -----( 1 )

a × b = 336 × 54 = 18144 ----( 2 )

Therefore ,

( 1 ) = ( 2 )Hence proved