Q. 105.0( 1 Vote )

# Find g. c. d and

Answer :

For L.C.M or G.C.D we first need to find the prime factors of the numbers

112 = 2 × 2 × 2 × 2 × 7

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

144 = 2 × 2 × 2 × 2 × 3 × 3

Therefore, g. c. d(112, 128, 144) = 2 × 2 × 2 × 2 = 16

L.C.M of a group of numbers is the product of all the factors of three numbers without replicating the number more than one which is common to all numbersTherefore, l.c.m.(112, 128, 144) = 2

^{7}× 3 × 3 × 7 = 8064

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