Question

What is the HCF of 8/21, 12/35 and 32/7

Answer 1

HCF of Fractions= HCF of numerators/LCM of denominators
hcf of 8,12,32=4
lcm of 21,35,7=105
hcf of 8/21, 12/35 and 32/7=4/105

Answer 2

Answer:

HCF of 8/21, 12/35 and 32/7 = $=\frac{4}{105}$

Step-by-step explanation:

HCF of fraction is given by = HCF of numerators / LCM of the denominator

HCF of 8,12,32 :

Prime Factorization of 8 = 2 x 2 x 2

Prime Factorization of 12 = 2 x 2 x 3

Prime Factorization of 32 = 2 x 2 x 2 x 2 x 2

Highest common occurrences in the given inputs are = 2x2 =4

HCF (8, 12 , 32) = 4

LCM of 21, 35, 7:

21 = 3 × 7

35 = 7 x 5

7 = 7 x 1

LCM (21, 35, 7) = 3 x 7 x 5 = 105

HCF of 8/21, 12/35 and 32/7 = $\frac{HCF(8,12,32)}{LCM(21,35,7)} =\frac{4}{105}$

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