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 542, 514, 318, 979 i.e. 1 largest integer that divides all the numbers equally.
GCD of 542, 514, 318, 979 is 1
GCD(542, 514, 318, 979) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 542, 514, 318, 979 is 1
GCD(542, 514, 318, 979) = 1
Given Input numbers are 542, 514, 318, 979
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
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 542, 514, 318, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 542, 514, 318, 979 is 1.
Therefore, GCD of numbers 542, 514, 318, 979 is 1
Given Input Data is 542, 514, 318, 979
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 542 is 2 x 271
Prime Factorization of 514 is 2 x 257
Prime Factorization of 318 is 2 x 3 x 53
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(542, 514) = 139294
GCD(542, 514) = ( 542 x 514 ) / 139294
GCD(542, 514) = 278588 / 139294
GCD(542, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 318
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 318) = 318
GCD(2, 318) = ( 2 x 318 ) / 318
GCD(2, 318) = 636 / 318
GCD(2, 318) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 979
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 979) = 1958
GCD(2, 979) = ( 2 x 979 ) / 1958
GCD(2, 979) = 1958 / 1958
GCD(2, 979) = 1
GCD of 542, 514, 318, 979 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 542, 514, 318, 979?
GCD of 542, 514, 318, 979 is 1
2. Where do I get the detailed procedure to find GCD of 542, 514, 318, 979?
You can find a detailed procedure to find GCD of 542, 514, 318, 979 on our page.
3. How to find GCD of 542, 514, 318, 979 on a calculator?
You can find the GCD of 542, 514, 318, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.