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 364, 942, 431, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 364, 942, 431, 956 is 1
GCD(364, 942, 431, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 364, 942, 431, 956 is 1
GCD(364, 942, 431, 956) = 1
Given Input numbers are 364, 942, 431, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 364
List of positive integer divisors of 364 that divides 364 without a remainder.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Greatest Common Divisior
We found the divisors of 364, 942, 431, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 942, 431, 956 is 1.
Therefore, GCD of numbers 364, 942, 431, 956 is 1
Given Input Data is 364, 942, 431, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 364 is 2 x 2 x 7 x 13
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 431 is 431
Prime Factorization of 956 is 2 x 2 x 239
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(364, 942) = 171444
GCD(364, 942) = ( 364 x 942 ) / 171444
GCD(364, 942) = 342888 / 171444
GCD(364, 942) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 431) = 862
GCD(2, 431) = ( 2 x 431 ) / 862
GCD(2, 431) = 862 / 862
GCD(2, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 956
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 956) = 956
GCD(1, 956) = ( 1 x 956 ) / 956
GCD(1, 956) = 956 / 956
GCD(1, 956) = 1
GCD of 364, 942, 431, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 364, 942, 431, 956?
GCD of 364, 942, 431, 956 is 1
2. Where do I get the detailed procedure to find GCD of 364, 942, 431, 956?
You can find a detailed procedure to find GCD of 364, 942, 431, 956 on our page.
3. How to find GCD of 364, 942, 431, 956 on a calculator?
You can find the GCD of 364, 942, 431, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.