Mathematics is the study of numbers. In branch of mathematics, we deal with different types of numbers which are grouped together.
For example: - Odd numbers, even numbers, prime numbers, composite numbers, etc.
A prime number is one which has factors one and itself.
For example: - 2 is a prime number as it has two factors only that is 1 and itself. Similarly numbers like 3, 5, 7, and 11 are also its examples.
Now we talk about Relatively Prime Numbers. What is Relatively Prime - Relatively Prime Definition says they are those numbers which have the greatest common divisor as one only.
They are also called co prime-numbers. They are those numbers which share no common factors except 1. Let us look at some examples to understand this concept better.
How about number 7 and 15? If we make factors of 7, we see that number 7 is divisible by 1 and 7 only. For number 15, we see that it is divisible by 1, 3, 5 and 15. If we look at the factors of both the numbers, we see that the common factors between them are 1 only.
Hence they can be termed as relatively-prime-numbers. Similarly if we have numbers 8 and 22, we see that number 8 has factors 1, 2, 4 and 8 and number 22 has factors 1, 2 and 11.
If we look at the factors of both the numbers, we see that apart from number 1, 8 and 22 has a common factor 2 as well. Therefore we cannot call them as relatively-prime-numbers.
If we look at the Relatively Prime Numbers List from 1 to 10, we can make groups like 2 and 3, 2 and 5, 2 and 7, 2 and 9, 3 and 4, 3 and 5, 3 and 7, 3 and 8, 3 and 10, 4 and 5, 4 and 7, 4 and 9, 5 and 6, 5 and 7, 5 and 8, 5 and 9, 6 and 7, 7 and 8, 7 and 9, 7 and 10, 8 and 9 and 9 and 10.
They are forms a group of Relatively Prime nos. till 10.
We cannot include 2 and 4 in that group as they have two common factors. Similarly number 6 and 10 are also not in that group as they are divisible by 1 and 2.
For example: - Odd numbers, even numbers, prime numbers, composite numbers, etc.
A prime number is one which has factors one and itself.
For example: - 2 is a prime number as it has two factors only that is 1 and itself. Similarly numbers like 3, 5, 7, and 11 are also its examples.
Now we talk about Relatively Prime Numbers. What is Relatively Prime - Relatively Prime Definition says they are those numbers which have the greatest common divisor as one only.
They are also called co prime-numbers. They are those numbers which share no common factors except 1. Let us look at some examples to understand this concept better.
How about number 7 and 15? If we make factors of 7, we see that number 7 is divisible by 1 and 7 only. For number 15, we see that it is divisible by 1, 3, 5 and 15. If we look at the factors of both the numbers, we see that the common factors between them are 1 only.
Hence they can be termed as relatively-prime-numbers. Similarly if we have numbers 8 and 22, we see that number 8 has factors 1, 2, 4 and 8 and number 22 has factors 1, 2 and 11.
If we look at the factors of both the numbers, we see that apart from number 1, 8 and 22 has a common factor 2 as well. Therefore we cannot call them as relatively-prime-numbers.
If we look at the Relatively Prime Numbers List from 1 to 10, we can make groups like 2 and 3, 2 and 5, 2 and 7, 2 and 9, 3 and 4, 3 and 5, 3 and 7, 3 and 8, 3 and 10, 4 and 5, 4 and 7, 4 and 9, 5 and 6, 5 and 7, 5 and 8, 5 and 9, 6 and 7, 7 and 8, 7 and 9, 7 and 10, 8 and 9 and 9 and 10.
They are forms a group of Relatively Prime nos. till 10.
We cannot include 2 and 4 in that group as they have two common factors. Similarly number 6 and 10 are also not in that group as they are divisible by 1 and 2.
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