Question

Show that the following pairs of numbers are Co-prime: (i)101 and 800​

Answer 1

Given :

• Two numbers 101 & 800

To prove :

• Given numbers i.e. 101 & 800 are co-primes.

Solution :

We know that,

Two numbers are co-primes if they have no common factor other than 1 .

So let's check,

• Factors of 101 - 1 , 101

• Factors of 800- 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 25 , 32 , 40 , 50 , 80 , 100 , 160 , 200 , 400 , 800

So, we can say that there are no common factors except 1 .

Therefore, 101 & 800 are co-primes.

Hence Proved.