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 126, 234, 627, 932 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 234, 627, 932 is 1
GCD(126, 234, 627, 932) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 234, 627, 932 is 1
GCD(126, 234, 627, 932) = 1
Given Input numbers are 126, 234, 627, 932
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 126
List of positive integer divisors of 126 that divides 126 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 234
List of positive integer divisors of 234 that divides 234 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 627
List of positive integer divisors of 627 that divides 627 without a remainder.
1, 3, 11, 19, 33, 57, 209, 627
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 126, 234, 627, 932 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 234, 627, 932 is 1.
Therefore, GCD of numbers 126, 234, 627, 932 is 1
Given Input Data is 126, 234, 627, 932
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 126 is 2 x 3 x 3 x 7
Prime Factorization of 234 is 2 x 3 x 3 x 13
Prime Factorization of 627 is 3 x 11 x 19
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(126, 234) = 1638
GCD(126, 234) = ( 126 x 234 ) / 1638
GCD(126, 234) = 29484 / 1638
GCD(126, 234) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 627
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 627) = 3762
GCD(18, 627) = ( 18 x 627 ) / 3762
GCD(18, 627) = 11286 / 3762
GCD(18, 627) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 932
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 932) = 2796
GCD(3, 932) = ( 3 x 932 ) / 2796
GCD(3, 932) = 2796 / 2796
GCD(3, 932) = 1
GCD of 126, 234, 627, 932 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 234, 627, 932?
GCD of 126, 234, 627, 932 is 1
2. Where do I get the detailed procedure to find GCD of 126, 234, 627, 932?
You can find a detailed procedure to find GCD of 126, 234, 627, 932 on our page.
3. How to find GCD of 126, 234, 627, 932 on a calculator?
You can find the GCD of 126, 234, 627, 932 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.