frayer model of co-prime number
Answers
Introduction:
In the number system theory, numbers are categorised based on their properties. Today, we are going to learn about one such categorization called coprime numbers. But before we delve deep into it, let us first understand the concept of prime numbers. Prime numbers refer to:
•Natural numbers greater than 1
•Which have only two divisors, those being 1 and the number itself
•In other words, those numbers that cannot be written as the product of two smaller natural numbers
•Example: 2, 3, 5, 7, 11, 13 and so on
•There are infinite prime numbers
Coprime numbers definition:
•Now, coming towards our main question, what is the definition of coprime numbers?
•‘Co’ refers to a ‘pair’. So, we can define a pair of integers, let's say a and b, as coprime or primes to each other or mutually prime or relatively prime if:
•the only positive integer that divides both of them to give a remainder zero is 1
•In other words, the HCF of the two numbers is 1
•Coprime numbers are denoted as gcd(a, b)=1 or (a, b)=1 or as “a is prime to b”
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)