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 787, 522, 80, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 522, 80, 979 is 1
GCD(787, 522, 80, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 522, 80, 979 is 1
GCD(787, 522, 80, 979) = 1
Given Input numbers are 787, 522, 80, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Greatest Common Divisior
We found the divisors of 787, 522, 80, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 522, 80, 979 is 1.
Therefore, GCD of numbers 787, 522, 80, 979 is 1
Given Input Data is 787, 522, 80, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 979 is 11 x 89
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(787, 522) = 410814
GCD(787, 522) = ( 787 x 522 ) / 410814
GCD(787, 522) = 410814 / 410814
GCD(787, 522) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 80) = 80
GCD(1, 80) = ( 1 x 80 ) / 80
GCD(1, 80) = 80 / 80
GCD(1, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 979) = 979
GCD(1, 979) = ( 1 x 979 ) / 979
GCD(1, 979) = 979 / 979
GCD(1, 979) = 1
GCD of 787, 522, 80, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 522, 80, 979?
GCD of 787, 522, 80, 979 is 1
2. Where do I get the detailed procedure to find GCD of 787, 522, 80, 979?
You can find a detailed procedure to find GCD of 787, 522, 80, 979 on our page.
3. How to find GCD of 787, 522, 80, 979 on a calculator?
You can find the GCD of 787, 522, 80, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.