Question

1. 39, 26
2. 36, 48
3. 12, 30

Explanation:

Problem 5: Find GCD of 39 and 26

Step1: Prime Factorization

Factorize 39: \(39 = 13\times3\)
Factorize 26: \(26 = 13\times2\)

Step2: Identify Common Factors

The common prime factor is 13.

Step1: Prime Factorization

Factorize 36: \(36 = 2\times2\times3\times3\)
Factorize 48: \(48 = 2\times2\times2\times2\times3\)

Step2: Identify Common Factors

Common factors: \(2\times2\times3 = 12\)

Step1: Prime Factorization

Factorize 12: \(12 = 2\times2\times3\)
Factorize 30: \(30 = 2\times3\times5\)

Step2: Identify Common Factors

Common factors: \(2\times3 = 6\) (Note: There seems to be a mistake in the handwritten answer, the correct GCD of 12 and 30 is 6)

Answer:

13

Problem 7: Find GCD of 36 and 48