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 634, 322, 503, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 634, 322, 503, 108 is 1
GCD(634, 322, 503, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 634, 322, 503, 108 is 1
GCD(634, 322, 503, 108) = 1
Given Input numbers are 634, 322, 503, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 503
List of positive integer divisors of 503 that divides 503 without a remainder.
1, 503
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
Greatest Common Divisior
We found the divisors of 634, 322, 503, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 634, 322, 503, 108 is 1.
Therefore, GCD of numbers 634, 322, 503, 108 is 1
Given Input Data is 634, 322, 503, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 634 is 2 x 317
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 503 is 503
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(634, 322) = 102074
GCD(634, 322) = ( 634 x 322 ) / 102074
GCD(634, 322) = 204148 / 102074
GCD(634, 322) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 503
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 503) = 1006
GCD(2, 503) = ( 2 x 503 ) / 1006
GCD(2, 503) = 1006 / 1006
GCD(2, 503) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 634, 322, 503, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 634, 322, 503, 108?
GCD of 634, 322, 503, 108 is 1
2. Where do I get the detailed procedure to find GCD of 634, 322, 503, 108?
You can find a detailed procedure to find GCD of 634, 322, 503, 108 on our page.
3. How to find GCD of 634, 322, 503, 108 on a calculator?
You can find the GCD of 634, 322, 503, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.