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, 954, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 126, 954, 629 is 1
GCD(126, 954, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 126, 954, 629 is 1
GCD(126, 954, 629) = 1
Given Input numbers are 126, 954, 629
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 954
List of positive integer divisors of 954 that divides 954 without a remainder.
1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 126, 954, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 954, 629 is 1.
Therefore, GCD of numbers 126, 954, 629 is 1
Given Input Data is 126, 954, 629
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 954 is 2 x 3 x 3 x 53
Prime Factorization of 629 is 17 x 37
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, 954) = 6678
GCD(126, 954) = ( 126 x 954 ) / 6678
GCD(126, 954) = 120204 / 6678
GCD(126, 954) = 18
Step2:
Here we consider the GCD from the above i.e. 18 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(18, 629) = 11322
GCD(18, 629) = ( 18 x 629 ) / 11322
GCD(18, 629) = 11322 / 11322
GCD(18, 629) = 1
GCD of 126, 954, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 126, 954, 629?
GCD of 126, 954, 629 is 1
2. Where do I get the detailed procedure to find GCD of 126, 954, 629?
You can find a detailed procedure to find GCD of 126, 954, 629 on our page.
3. How to find GCD of 126, 954, 629 on a calculator?
You can find the GCD of 126, 954, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.