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The HCF of 13\frac{1}{3}31​​,23\frac{2}{3}32​​,29\frac{2}{9}92​​  and  312\ \frac{3}{12} 123​​ is:
Question

The HCF of 13\frac{1}{3}​,23\frac{2}{3}​,29\frac{2}{9}​  and  312\ \frac{3}{12}​ is:

A.

136\frac{1}{36}​​

B.

160\frac{1}{60}​​

C.

148\frac{1}{48}​​

D.

112\frac{1}{12}​​

Correct option is A

Given:

Number given are13,23,29 and 312 \frac{1}{3},\frac{2}{3},\frac{2}{9}\ and \ \frac{3}{12}​​

Formula Used:

HCF of fractions =HCF of NumeratorsLCM of denominators \frac{HCF\ of\ Numerators}{LCM\ of\ denominators}​​

Solution:

HCF of (13,23,29,312)=HCF of 1,2,2,3LCM of 3,3,9,12=136HCF\ of \ \left(\frac{1}{3},\frac{2}{3},\frac{2}{9}, \frac{3}{12}\right) = \frac{HCF\ of\ 1,2,2,3}{LCM\ of\ 3,3,9,12}=\frac{1}{36}​​

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