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 11, 634, 168, 756 i.e. 1 largest integer that divides all the numbers equally.
GCD of 11, 634, 168, 756 is 1
GCD(11, 634, 168, 756) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 11, 634, 168, 756 is 1
GCD(11, 634, 168, 756) = 1
Given Input numbers are 11, 634, 168, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 11, 634, 168, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 634, 168, 756 is 1.
Therefore, GCD of numbers 11, 634, 168, 756 is 1
Given Input Data is 11, 634, 168, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 11 is 11
Prime Factorization of 634 is 2 x 317
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
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(11, 634) = 6974
GCD(11, 634) = ( 11 x 634 ) / 6974
GCD(11, 634) = 6974 / 6974
GCD(11, 634) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
GCD(1, 756) = 756 / 756
GCD(1, 756) = 1
GCD of 11, 634, 168, 756 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 11, 634, 168, 756?
GCD of 11, 634, 168, 756 is 1
2. Where do I get the detailed procedure to find GCD of 11, 634, 168, 756?
You can find a detailed procedure to find GCD of 11, 634, 168, 756 on our page.
3. How to find GCD of 11, 634, 168, 756 on a calculator?
You can find the GCD of 11, 634, 168, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.