Question

Show that the following pairs are co-prime:

(i) 59,97
(ii) 875,1859
(iii) 288,1375

Answer 1

We know that two numbers are co-primes if their HCF is 1.

(i) 59 and 97
Here, dividend = 97 and divisor = 59

Clearly, the last divisor is 1.
Hence, the given numbers are co-primes.

(ii) 875 and 1859
Here, dividend = 1,859 and divisor = 875


Clearly, the last divisor is 1.
Hence, the given numbers are co-primes.

(iii) 288 and 1375
Here, dividend = 288 and divisor = 1,375


Clearly, the last divisor is 1.
Hence, the given numbers are co-primes.