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 877, 916, 442, 956 i.e. 1 largest integer that divides all the numbers equally.
GCD of 877, 916, 442, 956 is 1
GCD(877, 916, 442, 956) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 877, 916, 442, 956 is 1
GCD(877, 916, 442, 956) = 1
Given Input numbers are 877, 916, 442, 956
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
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 877, 916, 442, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 877, 916, 442, 956 is 1.
Therefore, GCD of numbers 877, 916, 442, 956 is 1
Given Input Data is 877, 916, 442, 956
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 877 is 877
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 442 is 2 x 13 x 17
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(877, 916) = 803332
GCD(877, 916) = ( 877 x 916 ) / 803332
GCD(877, 916) = 803332 / 803332
GCD(877, 916) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 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 877, 916, 442, 956 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 877, 916, 442, 956?
GCD of 877, 916, 442, 956 is 1
2. Where do I get the detailed procedure to find GCD of 877, 916, 442, 956?
You can find a detailed procedure to find GCD of 877, 916, 442, 956 on our page.
3. How to find GCD of 877, 916, 442, 956 on a calculator?
You can find the GCD of 877, 916, 442, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.