Which of the following pairs of numbers are relatively prime?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 39 and 68.
For relative prime, we have to find the HCF of the pair of numbers.
HCF of 39 and 68:
Factors of 39 = 3 × 13
Factors of 68 = 2 × 2 × 17
⇒ HCF = 1
HCF of 24 and 38:
Factors of 24 = 2 × 2 × 2 × 3
Factors of 38 = 2 × 19
⇒ HCF = 2
HCF of 24 and 92:
Factors of 24 = 2 × 2 × 2 × 3
Factors of 92 = 2 × 2 × 23
⇒ HCF = 4
HCF of 24 and 68:
Factors of 24 = 2 × 2 × 2 × 3
Factors of 68 = 2 × 2 × 17
⇒ HCF = 4
Now,
HCF of 39 and 68 = 1
Hence, the pair of numbers 39 and 68 is relatively prime.