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 36, 959, 431, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 36, 959, 431, 879 is 1
GCD(36, 959, 431, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 36, 959, 431, 879 is 1
GCD(36, 959, 431, 879) = 1
Given Input numbers are 36, 959, 431, 879
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 36, 959, 431, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 959, 431, 879 is 1.
Therefore, GCD of numbers 36, 959, 431, 879 is 1
Given Input Data is 36, 959, 431, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 36 is 2 x 2 x 3 x 3
Prime Factorization of 959 is 7 x 137
Prime Factorization of 431 is 431
Prime Factorization of 879 is 3 x 293
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(36, 959) = 34524
GCD(36, 959) = ( 36 x 959 ) / 34524
GCD(36, 959) = 34524 / 34524
GCD(36, 959) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 879) = 879
GCD(1, 879) = ( 1 x 879 ) / 879
GCD(1, 879) = 879 / 879
GCD(1, 879) = 1
GCD of 36, 959, 431, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 36, 959, 431, 879?
GCD of 36, 959, 431, 879 is 1
2. Where do I get the detailed procedure to find GCD of 36, 959, 431, 879?
You can find a detailed procedure to find GCD of 36, 959, 431, 879 on our page.
3. How to find GCD of 36, 959, 431, 879 on a calculator?
You can find the GCD of 36, 959, 431, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.