Question

Find the H.C.F of $\frac{35}{64}$ and $\frac{75}{112}$.

• A. $\frac{5}{448}$
• B. $\frac{5}{8}$
• C. $\frac{35}{448}$
• D. $\frac{35}{8}$

Answer 1

The correct option is A $\frac{5}{448}$

For getting the HCF of a fraction, we have to find HCF of numerator and LCM of denominator.

By prime facorisation we get

$35=5\times 364=2\times 2\times 2\times 2\times 2\times 275=3\times 5\times 5112=2\times 2\times 2\times 2\times 7$

Now, HCF of 35 and 75 = 5

LCM of 64 and 112 = $2\times 2\times 2\times 2\times 2\times 2\times 7=448$

So, HCF of $\frac{35}{64}and\frac{75}{112}is\frac{5}{448}$

So, correct answer is option A.