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 20, 108, 711, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 20, 108, 711, 932 is 1
GCD(20, 108, 711, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 20, 108, 711, 932 is 1
GCD(20, 108, 711, 932) = 1
Given Input numbers are 20, 108, 711, 932
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 20
List of positive integer divisors of 20 that divides 20 without a remainder.
1, 2, 4, 5, 10, 20
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 932
List of positive integer divisors of 932 that divides 932 without a remainder.
1, 2, 4, 233, 466, 932
Greatest Common Divisior
We found the divisors of 20, 108, 711, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 108, 711, 932 is 1.
Therefore, GCD of numbers 20, 108, 711, 932 is 1
Given Input Data is 20, 108, 711, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 20 is 2 x 2 x 5
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 932 is 2 x 2 x 233
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(20, 108) = 540
GCD(20, 108) = ( 20 x 108 ) / 540
GCD(20, 108) = 2160 / 540
GCD(20, 108) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 711) = 2844
GCD(4, 711) = ( 4 x 711 ) / 2844
GCD(4, 711) = 2844 / 2844
GCD(4, 711) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 932) = 932
GCD(1, 932) = ( 1 x 932 ) / 932
GCD(1, 932) = 932 / 932
GCD(1, 932) = 1
GCD of 20, 108, 711, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 20, 108, 711, 932?
GCD of 20, 108, 711, 932 is 1
2. Where do I get the detailed procedure to find GCD of 20, 108, 711, 932?
You can find a detailed procedure to find GCD of 20, 108, 711, 932 on our page.
3. How to find GCD of 20, 108, 711, 932 on a calculator?
You can find the GCD of 20, 108, 711, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.