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 53, 908, 360, 568 i.e. 1 largest integer that divides all the numbers equally.
GCD of 53, 908, 360, 568 is 1
GCD(53, 908, 360, 568) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 53, 908, 360, 568 is 1
GCD(53, 908, 360, 568) = 1
Given Input numbers are 53, 908, 360, 568
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Greatest Common Divisior
We found the divisors of 53, 908, 360, 568 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 53, 908, 360, 568 is 1.
Therefore, GCD of numbers 53, 908, 360, 568 is 1
Given Input Data is 53, 908, 360, 568
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 53 is 53
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 568 is 2 x 2 x 2 x 71
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(53, 908) = 48124
GCD(53, 908) = ( 53 x 908 ) / 48124
GCD(53, 908) = 48124 / 48124
GCD(53, 908) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 568) = 568
GCD(1, 568) = ( 1 x 568 ) / 568
GCD(1, 568) = 568 / 568
GCD(1, 568) = 1
GCD of 53, 908, 360, 568 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 53, 908, 360, 568?
GCD of 53, 908, 360, 568 is 1
2. Where do I get the detailed procedure to find GCD of 53, 908, 360, 568?
You can find a detailed procedure to find GCD of 53, 908, 360, 568 on our page.
3. How to find GCD of 53, 908, 360, 568 on a calculator?
You can find the GCD of 53, 908, 360, 568 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.