Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 615, 746, 252, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 615, 746, 252, 106 is 1
GCD(615, 746, 252, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 615, 746, 252, 106 is 1
GCD(615, 746, 252, 106) = 1
Given Input numbers are 615, 746, 252, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 746
List of positive integer divisors of 746 that divides 746 without a remainder.
1, 2, 373, 746
Divisors of 252
List of positive integer divisors of 252 that divides 252 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 615, 746, 252, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 615, 746, 252, 106 is 1.
Therefore, GCD of numbers 615, 746, 252, 106 is 1
Given Input Data is 615, 746, 252, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 746 is 2 x 373
Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7
Prime Factorization of 106 is 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(615, 746) = 458790
GCD(615, 746) = ( 615 x 746 ) / 458790
GCD(615, 746) = 458790 / 458790
GCD(615, 746) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 252
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 252) = 252
GCD(1, 252) = ( 1 x 252 ) / 252
GCD(1, 252) = 252 / 252
GCD(1, 252) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 615, 746, 252, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 615, 746, 252, 106?
GCD of 615, 746, 252, 106 is 1
2. Where do I get the detailed procedure to find GCD of 615, 746, 252, 106?
You can find a detailed procedure to find GCD of 615, 746, 252, 106 on our page.
3. How to find GCD of 615, 746, 252, 106 on a calculator?
You can find the GCD of 615, 746, 252, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.