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 108, 572, 22, 632 i.e. 2 largest integer that divides all the numbers equally.
GCD of 108, 572, 22, 632 is 2
GCD(108, 572, 22, 632) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 572, 22, 632 is 2
GCD(108, 572, 22, 632) = 2
Given Input numbers are 108, 572, 22, 632
To find the GCD of numbers using factoring list out all the divisors of each number
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 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 108, 572, 22, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 572, 22, 632 is 2.
Therefore, GCD of numbers 108, 572, 22, 632 is 2
Given Input Data is 108, 572, 22, 632
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 22 is 2 x 11
Prime Factorization of 632 is 2 x 2 x 2 x 79
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(108, 572) = 15444
GCD(108, 572) = ( 108 x 572 ) / 15444
GCD(108, 572) = 61776 / 15444
GCD(108, 572) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 22) = 44
GCD(4, 22) = ( 4 x 22 ) / 44
GCD(4, 22) = 88 / 44
GCD(4, 22) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
GCD(2, 632) = 1264 / 632
GCD(2, 632) = 2
GCD of 108, 572, 22, 632 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 572, 22, 632?
GCD of 108, 572, 22, 632 is 2
2. Where do I get the detailed procedure to find GCD of 108, 572, 22, 632?
You can find a detailed procedure to find GCD of 108, 572, 22, 632 on our page.
3. How to find GCD of 108, 572, 22, 632 on a calculator?
You can find the GCD of 108, 572, 22, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.