17. 336 और 54 का एक तथा. 1.04 ज्ञात की

1.	17. 336 और 54 का एक तथा. 1.04 ज्ञात कीजिएकद .. मे...“ ># मी 31525: ¢
Answer» Let a = 336 , b = 54 Expressing a and b as a product of prime factors 336 = 2 × 2 × 2× 2 × 3 × 7 = 2^4 × 3 × 7 54 = 2 × 3 × 3 × 3 = 2 × 3^3 HCF ( 336 , 54 ) = 2 × 3 = 6 LCF( 336 , 54 ) = 2^4 × 3^3 × 7 = 3024 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 )

17. 336 और 54 का एक तथा. 1.04 ज्ञात कीजिएकद .. मे...“ ># मी 31525: ¢

Answer»

Let a = 336 ,

b = 54

Expressing a and b as a product of

prime factors

336 = 2 × 2 × 2× 2 × 3 × 7 = 2^4 × 3 × 7

54 = 2 × 3 × 3 × 3 = 2 × 3^3

HCF ( 336 , 54 ) = 2 × 3 = 6

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

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 )