Question

Write
247/364
in lowest terms.

Answer 1

To simplify the fraction \( \frac{247}{364} \), we need to find the greatest common divisor (GCD) of the two numbers and then divide both the numerator and the denominator by that GCD.

1. **Find the GCD of 247 and 364.**
- We can use the Euclidean algorithm:
- \( 364 = 247 \times 1 + 117 \)
- \( 247 = 117 \times 2 + 13 \)
- \( 117 = 13 \times 9 + 0 \)
- When the remainder is 0, the last non-zero remainder is the GCD. In this case, the GCD is 13.

2. **Divide both the numerator and the denominator by the GCD:**
- \( \frac{247 \div 13}{364 \div 13} = \frac{19}{28} \)

The fraction \( \frac{247}{364} \) in lowest terms is \( \frac{19}{28} \).