Table of Contents

## What are prime and rational numbers?

Prime – A prime number is any whole number greater than 1 that only has the number 1 and itself as factors. Example: The first 8 prime numbers are 2,3,5,7,11,13,17, and 19. Rational Number – A rational number is any number that can be written as a fraction using two integers. Every integer is a rational number.

## What is co-prime number in maths?

Co-prime numbers are the numbers whose common factor is only 1. Such numbers have only 1 as their highest common factor, for example, {4 and 7}, {5, 7, 9} are co-prime numbers. Co-prime numbers need not be prime numbers always. Two composite numbers like 4 and 9 also form a pair of co-primes.

**What is the difference between prime and Coprime numbers?**

What is the difference between prime and Coprime numbers? A prime number is defined as a number that has no factor other than 1 and itself. On the contrary, co-primes are considered in pairs and two numbers are co-prime if they have no common factors other than 1.

### Is co-prime and composite number same?

A composite number is a positive integer that has a factor other than 1 and itself. Co primes are set of numbers or integers which have only 1 as their common factor. Their highest common factor is 1. The co primes are also known as relatively prime or mutually prime numbers.

### What is the difference between rational numbers and coprimes?

So difference between Rational Number and COPRIMES is obviously clear. In case of coprimes, the two numbers are Natural numbers where in case of Rational Number the two numbers are integers. What is the difference between fractions and rational numbers?

**What is the difference between a prime number and co-prime number?**

A prime number is defined as a number that has no factor other than 1 and itself. On the contrary, co-primes are considered in pairs and two numbers are co-prime if they have no common factors other than 1.

#### What is the co-prime of 9 and 10?

Co-prime :- Simplily Co-prime means “the GCD of Two Numbers must be 1. It does not necessarily mean that the two numbers ( or one number ) should be prime. GCD ( 9,10)=1; So 9 & 10 are co-primes. Here neither 9 nor 10 is prime, but they are coprimes because they don’t share a common factor other than 1.

#### How do you find the sum of two co-prime numbers?

Any two successive numbers/ integers are always co-prime: Take any consecutive number such as 2, 3 or 3, 4 or 5, 6 and so on; they have 1 as their HCF. The sum of any two co-prime numbers are always co-prime with their product: 2 and 3 are co-prime and have 5 as their sum (2+3) and 6 as the product (2×3).