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 319, 617, 60, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 319, 617, 60, 979 is 1
GCD(319, 617, 60, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 319, 617, 60, 979 is 1
GCD(319, 617, 60, 979) = 1
Given Input numbers are 319, 617, 60, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 319
List of positive integer divisors of 319 that divides 319 without a remainder.
1, 11, 29, 319
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
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 319, 617, 60, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 319, 617, 60, 979 is 1.
Therefore, GCD of numbers 319, 617, 60, 979 is 1
Given Input Data is 319, 617, 60, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 319 is 11 x 29
Prime Factorization of 617 is 617
Prime Factorization of 60 is 2 x 2 x 3 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(319, 617) = 196823
GCD(319, 617) = ( 319 x 617 ) / 196823
GCD(319, 617) = 196823 / 196823
GCD(319, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 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 319, 617, 60, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 319, 617, 60, 979?
GCD of 319, 617, 60, 979 is 1
2. Where do I get the detailed procedure to find GCD of 319, 617, 60, 979?
You can find a detailed procedure to find GCD of 319, 617, 60, 979 on our page.
3. How to find GCD of 319, 617, 60, 979 on a calculator?
You can find the GCD of 319, 617, 60, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.