5. Which of the following numbers are co-prime?i. 4,9 ii. 8, 15 iv. 40, 515 v. 73,213
Answers
i. 4,9
Factors of 4 = 4, 2, 1
Factors of 9 = 3,9,1
ii. 8,15
Factors of 8 = 2,4,8,1
Factors of 15 = 3,5,15,1
iii. 73,213
Factors of 73 = 73,1
Factors of 213 = 3, 71, 213, 1
All these pairs have only 1 as their common factor which makes them co prime numbers.
While the pair iv. 40,515 has 5 as a common factor too, thus are not co prime numbers.
Hope that helps.
- Factors of 4=1, 2, 4
Factors of 9= 1,3,9
Hence, their GCD is 1 so they are co-prime numbers.
2. Factors of 8=1,2,4,8
Factors of 15= 1,3,5,15
Hence, their GCD is 1 so they are co-prime numbers.
3. Factors of 40= 1,2,4,5,8,10,20,40
Factors of 515= 1,5,103,515
Hence, their GCD is 5 so they are not co-prime numbers.
4. Factors of 73= 1, 73
Factors of 213= 1,3,71,213
Hence their GCD is 1 so they are co-prime numbers.
Hope it helps and if it does please mark as brainliest...