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, 575, 78, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 129, 575, 78, 631 is 1
GCD(129, 575, 78, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 129, 575, 78, 631 is 1
GCD(129, 575, 78, 631) = 1
Given Input numbers are 129, 575, 78, 631
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 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 78
List of positive integer divisors of 78 that divides 78 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 129, 575, 78, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 575, 78, 631 is 1.
Therefore, GCD of numbers 129, 575, 78, 631 is 1
Given Input Data is 129, 575, 78, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 129 is 3 x 43
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 78 is 2 x 3 x 13
Prime Factorization of 631 is 631
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, 575) = 74175
GCD(129, 575) = ( 129 x 575 ) / 74175
GCD(129, 575) = 74175 / 74175
GCD(129, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 78
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 78) = 78
GCD(1, 78) = ( 1 x 78 ) / 78
GCD(1, 78) = 78 / 78
GCD(1, 78) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 129, 575, 78, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 129, 575, 78, 631?
GCD of 129, 575, 78, 631 is 1
2. Where do I get the detailed procedure to find GCD of 129, 575, 78, 631?
You can find a detailed procedure to find GCD of 129, 575, 78, 631 on our page.
3. How to find GCD of 129, 575, 78, 631 on a calculator?
You can find the GCD of 129, 575, 78, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.