Coprime Numbers - Definition, Meaning, Examples

The concept of co-prime numbers plays an integral role in mathematics and is used in real life as well. In order to solve the mathematical equations with perfection it is necessary for the kids to know and learn more about the concept in detail. So, let's understand this in detail in today's article.

Co-prime Numbers

Co-prime numbers are two or more numbers that share no common factors other than 1.

For example, 5 and 7 are co-prime numbers. Sometimes we get confused whether co-prime numbers are always prime numbers. it can be 2 composite numbers also

Example - 4 and 9

This concept is used in the calculations of HCF/LCM, rational numbers and divisibility problems.

Few Examples are

(5,7),

(8,15),

(14,15),

(17,19) etc

Follow the steps to find out if it is a co-prime number

1. List the factors of the first number.

2. List the factors of the second number.

3. Identify all the common factors.

4. If 1 is the only common factor then it is a co-prime number.

Example1: Are 2 and 15 co-prime numbers?

Factors of 2 are 1, 2.

Factors of 15 are 1,3,5,15.

The only common factor is 1.

Therefore, 2 and 15 are co-prime.

Example 2: Are 18 and 25 co-prime numbers?

Factors of 18 are 1, 2,3,6,9,18

Factors of 25 are 1,5,15.

The only common factor is 1.

Therefore, 18 and 25 are co-prime.

Example3: Are 16 and 27 co-prime numbers?

Factors of 16 are 1, 2,4,8,16

Factors of 27 are 1,3,9,27

The only common factor is 1.

Therefore, 16 and 27 are co-prime.

Tips and Tricks:

Any two prime numbers are always co-prime.

Any two consecutive numbers are always co-prime.

Two even numbers are co-prime

It needs two numbers to form co-prime

Conclusion

Co-prime numbers are a set of numbers which has only 1 as a common factor. It is easier for the kids to solve the mathematical equation after learning about this concept.

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Article Author

Madhur Churiwala

Madhur Churiwala is an accomplished English and communicative skills educator with 15 years of experience. She holds a degree of B. ED in English. She started her career as a Fashion Designer but her passion for teaching and interacting with children turned her into a highly skilled educator. Initially she taught in school and then moved onto online teaching platform where she showcased her skills in education. Her way of teaching in fun and playful environment always inspires children to develop a love for learning. Over the years she has developed her passion for writing. As an author, Madhur brings her dedicated educational background to her blogs offering the valuable insights for educators, parents and students alike.

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