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, 541, 79, 696 i.e. 1 largest integer that divides all the numbers equally.
GCD of 108, 541, 79, 696 is 1
GCD(108, 541, 79, 696) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 108, 541, 79, 696 is 1
GCD(108, 541, 79, 696) = 1
Given Input numbers are 108, 541, 79, 696
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 541
List of positive integer divisors of 541 that divides 541 without a remainder.
1, 541
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 696
List of positive integer divisors of 696 that divides 696 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Greatest Common Divisior
We found the divisors of 108, 541, 79, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 541, 79, 696 is 1.
Therefore, GCD of numbers 108, 541, 79, 696 is 1
Given Input Data is 108, 541, 79, 696
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 541 is 541
Prime Factorization of 79 is 79
Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29
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(108, 541) = 58428
GCD(108, 541) = ( 108 x 541 ) / 58428
GCD(108, 541) = 58428 / 58428
GCD(108, 541) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 79) = 79
GCD(1, 79) = ( 1 x 79 ) / 79
GCD(1, 79) = 79 / 79
GCD(1, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 696
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
GCD(1, 696) = 696 / 696
GCD(1, 696) = 1
GCD of 108, 541, 79, 696 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 108, 541, 79, 696?
GCD of 108, 541, 79, 696 is 1
2. Where do I get the detailed procedure to find GCD of 108, 541, 79, 696?
You can find a detailed procedure to find GCD of 108, 541, 79, 696 on our page.
3. How to find GCD of 108, 541, 79, 696 on a calculator?
You can find the GCD of 108, 541, 79, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.