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 916, 557, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 557, 689 is 1
GCD(916, 557, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 557, 689 is 1
GCD(916, 557, 689) = 1
Given Input numbers are 916, 557, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 557
List of positive integer divisors of 557 that divides 557 without a remainder.
1, 557
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 916, 557, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 557, 689 is 1.
Therefore, GCD of numbers 916, 557, 689 is 1
Given Input Data is 916, 557, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 557 is 557
Prime Factorization of 689 is 13 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(916, 557) = 510212
GCD(916, 557) = ( 916 x 557 ) / 510212
GCD(916, 557) = 510212 / 510212
GCD(916, 557) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 916, 557, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 557, 689?
GCD of 916, 557, 689 is 1
2. Where do I get the detailed procedure to find GCD of 916, 557, 689?
You can find a detailed procedure to find GCD of 916, 557, 689 on our page.
3. How to find GCD of 916, 557, 689 on a calculator?
You can find the GCD of 916, 557, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.