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 129, 245, 294, 634 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 245, 294, 634 is 1
GCD(129, 245, 294, 634) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 245, 294, 634 is 1
GCD(129, 245, 294, 634) = 1
Given Input numbers are 129, 245, 294, 634
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Divisors of 294
List of positive integer divisors of 294 that divides 294 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 634
List of positive integer divisors of 634 that divides 634 without a remainder.
1, 2, 317, 634
Greatest Common Divisior
We found the divisors of 129, 245, 294, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 245, 294, 634 is 1.
Therefore, GCD of numbers 129, 245, 294, 634 is 1
Given Input Data is 129, 245, 294, 634
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 245 is 5 x 7 x 7
Prime Factorization of 294 is 2 x 3 x 7 x 7
Prime Factorization of 634 is 2 x 317
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(129, 245) = 31605
GCD(129, 245) = ( 129 x 245 ) / 31605
GCD(129, 245) = 31605 / 31605
GCD(129, 245) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 294
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 294) = 294
GCD(1, 294) = ( 1 x 294 ) / 294
GCD(1, 294) = 294 / 294
GCD(1, 294) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 634
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 634) = 634
GCD(1, 634) = ( 1 x 634 ) / 634
GCD(1, 634) = 634 / 634
GCD(1, 634) = 1
GCD of 129, 245, 294, 634 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 245, 294, 634?
GCD of 129, 245, 294, 634 is 1
2. Where do I get the detailed procedure to find GCD of 129, 245, 294, 634?
You can find a detailed procedure to find GCD of 129, 245, 294, 634 on our page.
3. How to find GCD of 129, 245, 294, 634 on a calculator?
You can find the GCD of 129, 245, 294, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.