Question

number of natural numbers from 1 to 100 relatively co-prime to 100 is​

Answer 1

Answer:

Some of the pairs of coprime numbers from 1 to 100 are (2,3), (3,5), (5,7), (11,13), (17,19), (21,22), (29,31), (41,43), (59,61), (71,73), (87,88), (99,100) So this was the basic difference between the prime and the coprime numbers.

Answer 2

Answer:

number of natural numbers from $1$ to $100$ relatively co-prime to $100$ is​ $40$.

Step-by-step explanation:

We know that odd numbers are those that cannot be divided by two.

Therefore, there are $50$ natural odd numbers between $1$ and $100$

There are $10$ multiples of $5$ from these odd numbers.

The following are the natural numbers that are co-prime to $100$ :

Number of natural odd numbers $-$ number of odd multiples of $5$ less than $100$

$=50-10\\=40$

Hence, the number of natural numbers from $1 -100$ relatively co-prime to $100$ is​ $40$.

Co-prime numbers:

A co-prime number is a collection of numbers or integers with only 1 as their highest common factor (HCF), also known as a relatively prime number or a mutually prime number.

It is crucial that there be two numbers in order to create co-primes.