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, 981, 707, 321 i.e. 1 largest integer that divides all the numbers equally.
GCD of 957, 981, 707, 321 is 1
GCD(957, 981, 707, 321) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 957, 981, 707, 321 is 1
GCD(957, 981, 707, 321) = 1
Given Input numbers are 957, 981, 707, 321
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 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Greatest Common Divisior
We found the divisors of 957, 981, 707, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 957, 981, 707, 321 is 1.
Therefore, GCD of numbers 957, 981, 707, 321 is 1
Given Input Data is 957, 981, 707, 321
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 981 is 3 x 3 x 109
Prime Factorization of 707 is 7 x 101
Prime Factorization of 321 is 3 x 107
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, 981) = 312939
GCD(957, 981) = ( 957 x 981 ) / 312939
GCD(957, 981) = 938817 / 312939
GCD(957, 981) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 707) = 2121
GCD(3, 707) = ( 3 x 707 ) / 2121
GCD(3, 707) = 2121 / 2121
GCD(3, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
GCD(1, 321) = 321 / 321
GCD(1, 321) = 1
GCD of 957, 981, 707, 321 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 957, 981, 707, 321?
GCD of 957, 981, 707, 321 is 1
2. Where do I get the detailed procedure to find GCD of 957, 981, 707, 321?
You can find a detailed procedure to find GCD of 957, 981, 707, 321 on our page.
3. How to find GCD of 957, 981, 707, 321 on a calculator?
You can find the GCD of 957, 981, 707, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.