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 963, 763, 76, 518 i.e. 1 largest integer that divides all the numbers equally.
GCD of 963, 763, 76, 518 is 1
GCD(963, 763, 76, 518) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 963, 763, 76, 518 is 1
GCD(963, 763, 76, 518) = 1
Given Input numbers are 963, 763, 76, 518
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 76
List of positive integer divisors of 76 that divides 76 without a remainder.
1, 2, 4, 19, 38, 76
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Greatest Common Divisior
We found the divisors of 963, 763, 76, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 963, 763, 76, 518 is 1.
Therefore, GCD of numbers 963, 763, 76, 518 is 1
Given Input Data is 963, 763, 76, 518
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 963 is 3 x 3 x 107
Prime Factorization of 763 is 7 x 109
Prime Factorization of 76 is 2 x 2 x 19
Prime Factorization of 518 is 2 x 7 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(963, 763) = 734769
GCD(963, 763) = ( 963 x 763 ) / 734769
GCD(963, 763) = 734769 / 734769
GCD(963, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 76
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 76) = 76
GCD(1, 76) = ( 1 x 76 ) / 76
GCD(1, 76) = 76 / 76
GCD(1, 76) = 1
Step3:
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
GCD of 963, 763, 76, 518 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 963, 763, 76, 518?
GCD of 963, 763, 76, 518 is 1
2. Where do I get the detailed procedure to find GCD of 963, 763, 76, 518?
You can find a detailed procedure to find GCD of 963, 763, 76, 518 on our page.
3. How to find GCD of 963, 763, 76, 518 on a calculator?
You can find the GCD of 963, 763, 76, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.