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 979, 560, 14, 494 i.e. 1 largest integer that divides all the numbers equally.
GCD of 979, 560, 14, 494 is 1
GCD(979, 560, 14, 494) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 979, 560, 14, 494 is 1
GCD(979, 560, 14, 494) = 1
Given Input numbers are 979, 560, 14, 494
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 979
List of positive integer divisors of 979 that divides 979 without a remainder.
1, 11, 89, 979
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Greatest Common Divisior
We found the divisors of 979, 560, 14, 494 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 979, 560, 14, 494 is 1.
Therefore, GCD of numbers 979, 560, 14, 494 is 1
Given Input Data is 979, 560, 14, 494
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 979 is 11 x 89
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 14 is 2 x 7
Prime Factorization of 494 is 2 x 13 x 19
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(979, 560) = 548240
GCD(979, 560) = ( 979 x 560 ) / 548240
GCD(979, 560) = 548240 / 548240
GCD(979, 560) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 494
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 494) = 494
GCD(1, 494) = ( 1 x 494 ) / 494
GCD(1, 494) = 494 / 494
GCD(1, 494) = 1
GCD of 979, 560, 14, 494 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 979, 560, 14, 494?
GCD of 979, 560, 14, 494 is 1
2. Where do I get the detailed procedure to find GCD of 979, 560, 14, 494?
You can find a detailed procedure to find GCD of 979, 560, 14, 494 on our page.
3. How to find GCD of 979, 560, 14, 494 on a calculator?
You can find the GCD of 979, 560, 14, 494 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.