Which of the following numbers are co-prime? a- 18 and 35 b- 15 and 37 c- 30 and 415 d- 17 and 68 e- 216 and 215 f- 81 and 16
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Answered by
4
Answer:
a. 18 and 35
b. 15 and 37
e. 216 and 215
f. 81 and 16
These are co-prime
30 and 415 have 1 and 5 in common and 17 and 68 have 17 and 1 in common.
Answered by
10
Co-prime are numbers that do not share any common factors except 1
Question (a);
Prime factors of 18 = 2 x 3²
Prime factors of 35 = 5 x 7
HCF = 1
Answer: Yes, they are co-prime
Question (b);
Prime factors of 15 = 3 x 5
Prime factors of 37 = 37
HCF = 1
Answer: Yes, they are co-prime
Question (c);
Prime factors of 30 = 2 x 3 x 5
Prime factors of 415 = 5 x 83
HCF = 5
Answer: No, they are not co-prime
Question (d);
Prime factors of 17 = 17
Prime factors of 68 = 2² x 17
HCF = 17
Answer: No, they are not co-prime
Question (e);
Prime factors of 216 = 2³ x 3³
Prime factors of 215 = 5 x 43
HCF = 1
Answer: Yes, they are co-prime
Question (f);
Prime factors of 81 = 3⁴
Prime factors of 16 = 2⁴
HCF = 1
Answer: Yes, they are co-prime
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