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 957, 316, 122, 704 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 316, 122, 704 is 1
GCD(957, 316, 122, 704) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 316, 122, 704 is 1
GCD(957, 316, 122, 704) = 1
Given Input numbers are 957, 316, 122, 704
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Divisors of 704
List of positive integer divisors of 704 that divides 704 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Greatest Common Divisior
We found the divisors of 957, 316, 122, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 316, 122, 704 is 1.
Therefore, GCD of numbers 957, 316, 122, 704 is 1
Given Input Data is 957, 316, 122, 704
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 122 is 2 x 61
Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11
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(957, 316) = 302412
GCD(957, 316) = ( 957 x 316 ) / 302412
GCD(957, 316) = 302412 / 302412
GCD(957, 316) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 122) = 122
GCD(1, 122) = ( 1 x 122 ) / 122
GCD(1, 122) = 122 / 122
GCD(1, 122) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 704
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 704) = 704
GCD(1, 704) = ( 1 x 704 ) / 704
GCD(1, 704) = 704 / 704
GCD(1, 704) = 1
GCD of 957, 316, 122, 704 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 316, 122, 704?
GCD of 957, 316, 122, 704 is 1
2. Where do I get the detailed procedure to find GCD of 957, 316, 122, 704?
You can find a detailed procedure to find GCD of 957, 316, 122, 704 on our page.
3. How to find GCD of 957, 316, 122, 704 on a calculator?
You can find the GCD of 957, 316, 122, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.