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 517, 689, 220, 908 i.e. 1 largest integer that divides all the numbers equally.
GCD of 517, 689, 220, 908 is 1
GCD(517, 689, 220, 908) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 517, 689, 220, 908 is 1
GCD(517, 689, 220, 908) = 1
Given Input numbers are 517, 689, 220, 908
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Greatest Common Divisior
We found the divisors of 517, 689, 220, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 689, 220, 908 is 1.
Therefore, GCD of numbers 517, 689, 220, 908 is 1
Given Input Data is 517, 689, 220, 908
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 517 is 11 x 47
Prime Factorization of 689 is 13 x 53
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 908 is 2 x 2 x 227
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(517, 689) = 356213
GCD(517, 689) = ( 517 x 689 ) / 356213
GCD(517, 689) = 356213 / 356213
GCD(517, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 220
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 220) = 220
GCD(1, 220) = ( 1 x 220 ) / 220
GCD(1, 220) = 220 / 220
GCD(1, 220) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 908
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 908) = 908
GCD(1, 908) = ( 1 x 908 ) / 908
GCD(1, 908) = 908 / 908
GCD(1, 908) = 1
GCD of 517, 689, 220, 908 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 517, 689, 220, 908?
GCD of 517, 689, 220, 908 is 1
2. Where do I get the detailed procedure to find GCD of 517, 689, 220, 908?
You can find a detailed procedure to find GCD of 517, 689, 220, 908 on our page.
3. How to find GCD of 517, 689, 220, 908 on a calculator?
You can find the GCD of 517, 689, 220, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.