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 956, 441, 59, 438 i.e. 1 largest integer that divides all the numbers equally.
GCD of 956, 441, 59, 438 is 1
GCD(956, 441, 59, 438) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 956, 441, 59, 438 is 1
GCD(956, 441, 59, 438) = 1
Given Input numbers are 956, 441, 59, 438
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 956
List of positive integer divisors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478, 956
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Greatest Common Divisior
We found the divisors of 956, 441, 59, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 441, 59, 438 is 1.
Therefore, GCD of numbers 956, 441, 59, 438 is 1
Given Input Data is 956, 441, 59, 438
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 956 is 2 x 2 x 239
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 59 is 59
Prime Factorization of 438 is 2 x 3 x 73
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(956, 441) = 421596
GCD(956, 441) = ( 956 x 441 ) / 421596
GCD(956, 441) = 421596 / 421596
GCD(956, 441) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 438
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 438) = 438
GCD(1, 438) = ( 1 x 438 ) / 438
GCD(1, 438) = 438 / 438
GCD(1, 438) = 1
GCD of 956, 441, 59, 438 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 956, 441, 59, 438?
GCD of 956, 441, 59, 438 is 1
2. Where do I get the detailed procedure to find GCD of 956, 441, 59, 438?
You can find a detailed procedure to find GCD of 956, 441, 59, 438 on our page.
3. How to find GCD of 956, 441, 59, 438 on a calculator?
You can find the GCD of 956, 441, 59, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.