what are co prime. number
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Step-by-step explanation:
The sum of any two coprime numbers is always coprime with the product of the same two coprime numbers.
For eg: The sum of 2 and 3 is 5 and the product of 2 and 3 is 6. Hence, 5 and 6 are coprime numbers.
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- What are Co-prime number ?
➣ What are the Co-Prime Numbers?
- A Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.
- Co-prime numbers are also known as relatively prime or mutually prime numbers.
- It is important that there should be two numbers in order to form co-primes.
➣ Properties of Co-Prime Numbers
Some of the properties of co-prime numbers are as follows :-
- 1 is co-prime with every number.
- Any two prime numbers are co-prime to each other.
- Any two successive numbers/ integers are always co-prime.
- The sum of any two co-prime numbers are always co-prime with their product.
- Two even numbers can never form a coprime pair as all the even numbers have a common factor as 2.
- If two numbers have their unit digits as 0 and 5, then they are not coprime to each other.
➣ Example of Co-Prime Numbers
- 21 and 22
- 18 and 35
- 25 and 14
- 35 and 39
➣ How do you Find the Co-prime of a Number?
➠ To find the co-prime of a number, find the factors of the number first.
➠ Then, choose any number and find the factors of the chosen number.
➠ All the numbers which do not have any common factor other than 1 will be the co-prime of the given number.
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