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 518, 246, 747, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 518, 246, 747, 921 is 1
GCD(518, 246, 747, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 518, 246, 747, 921 is 1
GCD(518, 246, 747, 921) = 1
Given Input numbers are 518, 246, 747, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 518
List of positive integer divisors of 518 that divides 518 without a remainder.
1, 2, 7, 14, 37, 74, 259, 518
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 518, 246, 747, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 246, 747, 921 is 1.
Therefore, GCD of numbers 518, 246, 747, 921 is 1
Given Input Data is 518, 246, 747, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 518 is 2 x 7 x 37
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 921 is 3 x 307
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(518, 246) = 63714
GCD(518, 246) = ( 518 x 246 ) / 63714
GCD(518, 246) = 127428 / 63714
GCD(518, 246) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 747) = 1494
GCD(2, 747) = ( 2 x 747 ) / 1494
GCD(2, 747) = 1494 / 1494
GCD(2, 747) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 518, 246, 747, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 518, 246, 747, 921?
GCD of 518, 246, 747, 921 is 1
2. Where do I get the detailed procedure to find GCD of 518, 246, 747, 921?
You can find a detailed procedure to find GCD of 518, 246, 747, 921 on our page.
3. How to find GCD of 518, 246, 747, 921 on a calculator?
You can find the GCD of 518, 246, 747, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.