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 516, 765, 957, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 516, 765, 957, 631 is 1
GCD(516, 765, 957, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 516, 765, 957, 631 is 1
GCD(516, 765, 957, 631) = 1
Given Input numbers are 516, 765, 957, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 516
List of positive integer divisors of 516 that divides 516 without a remainder.
1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
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 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 516, 765, 957, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 765, 957, 631 is 1.
Therefore, GCD of numbers 516, 765, 957, 631 is 1
Given Input Data is 516, 765, 957, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 516 is 2 x 2 x 3 x 43
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 631 is 631
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(516, 765) = 131580
GCD(516, 765) = ( 516 x 765 ) / 131580
GCD(516, 765) = 394740 / 131580
GCD(516, 765) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 957
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 957) = 957
GCD(3, 957) = ( 3 x 957 ) / 957
GCD(3, 957) = 2871 / 957
GCD(3, 957) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 631) = 1893
GCD(3, 631) = ( 3 x 631 ) / 1893
GCD(3, 631) = 1893 / 1893
GCD(3, 631) = 1
GCD of 516, 765, 957, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 516, 765, 957, 631?
GCD of 516, 765, 957, 631 is 1
2. Where do I get the detailed procedure to find GCD of 516, 765, 957, 631?
You can find a detailed procedure to find GCD of 516, 765, 957, 631 on our page.
3. How to find GCD of 516, 765, 957, 631 on a calculator?
You can find the GCD of 516, 765, 957, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.