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 57, 115, 518, 962 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 115, 518, 962 is 1
GCD(57, 115, 518, 962) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 115, 518, 962 is 1
GCD(57, 115, 518, 962) = 1
Given Input numbers are 57, 115, 518, 962
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Greatest Common Divisior
We found the divisors of 57, 115, 518, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 115, 518, 962 is 1.
Therefore, GCD of numbers 57, 115, 518, 962 is 1
Given Input Data is 57, 115, 518, 962
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 115 is 5 x 23
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 962 is 2 x 13 x 37
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(57, 115) = 6555
GCD(57, 115) = ( 57 x 115 ) / 6555
GCD(57, 115) = 6555 / 6555
GCD(57, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 518
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 518) = 518
GCD(1, 518) = ( 1 x 518 ) / 518
GCD(1, 518) = 518 / 518
GCD(1, 518) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 962
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 962) = 962
GCD(1, 962) = ( 1 x 962 ) / 962
GCD(1, 962) = 962 / 962
GCD(1, 962) = 1
GCD of 57, 115, 518, 962 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 115, 518, 962?
GCD of 57, 115, 518, 962 is 1
2. Where do I get the detailed procedure to find GCD of 57, 115, 518, 962?
You can find a detailed procedure to find GCD of 57, 115, 518, 962 on our page.
3. How to find GCD of 57, 115, 518, 962 on a calculator?
You can find the GCD of 57, 115, 518, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.