LCM, HCF

Quantitative Aptitude (CPO)

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Indian Economy - Understanding the basics of Indian economic system

The HCF of $$\frac{3}{4},\frac{7}{8}$$ and $$\frac{13}{14}$$ is:

This questions was previously asked in

SSC CPO 10th Nov 2022 Shift 3

$$\frac{1}{36}$$

$$\frac{1}{56}$$

$$\frac{1}{70}$$

$$\frac{1}{60}$$

To find the HCF (Highest Common Factor) of fractions:

- Step 1: Find the HCF of the numerators: 3, 7, and 13.

- Since the numbers are prime and share no common factors other than 1, the HCF is 1.

- Step 2: Find the LCM (Lowest Common Multiple) of the denominators: 4, 8, and 14.

- The LCM of 4, 8, and 14 is 56.

- Step 3: The HCF of the fractions is $$\frac{\text{HCF of numerators}}{\text{LCM of denominators}} = \frac{1}{56}$$.

- Options:

1. $$\frac{1}{36}$$

2. $$\frac{1}{56}$$

3. $$\frac{1}{70}$$

4. $$\frac{1}{60}$$