112, 128, 144,Find g.c.d. and L.c.m.
Answers
Answered by
5
GCD is = 16
LCM is. = 128×9×7 = 8064
Hope, it is useful
LCM is. = 128×9×7 = 8064
Hope, it is useful
Answered by
5
Solution :
Given Numbers are 112 , 128, 144
Resolving given Numbers into
product of prime.
112 = 2⁴ × 7¹
128 = 2^7
144 = 2⁴ × 3²
HCF ( 112 , 128 , 144 ) = 2⁴ = 16
[ Since , Product of the smallest
power of each common factors
of the numbers ]
LCM ( 112 , 128 , 144 )
= 2^7 × 3² × 7
= 8064
Therefore ,
HCF( 112,128,144) = 16,
LCM(112,128,144) = 8064
••••
Given Numbers are 112 , 128, 144
Resolving given Numbers into
product of prime.
112 = 2⁴ × 7¹
128 = 2^7
144 = 2⁴ × 3²
HCF ( 112 , 128 , 144 ) = 2⁴ = 16
[ Since , Product of the smallest
power of each common factors
of the numbers ]
LCM ( 112 , 128 , 144 )
= 2^7 × 3² × 7
= 8064
Therefore ,
HCF( 112,128,144) = 16,
LCM(112,128,144) = 8064
••••
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