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 498, 912, 974, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 498, 912, 974, 317 is 1
GCD(498, 912, 974, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 498, 912, 974, 317 is 1
GCD(498, 912, 974, 317) = 1
Given Input numbers are 498, 912, 974, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 912
List of positive integer divisors of 912 that divides 912 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 498, 912, 974, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 912, 974, 317 is 1.
Therefore, GCD of numbers 498, 912, 974, 317 is 1
Given Input Data is 498, 912, 974, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19
Prime Factorization of 974 is 2 x 487
Prime Factorization of 317 is 317
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(498, 912) = 75696
GCD(498, 912) = ( 498 x 912 ) / 75696
GCD(498, 912) = 454176 / 75696
GCD(498, 912) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 974) = 2922
GCD(6, 974) = ( 6 x 974 ) / 2922
GCD(6, 974) = 5844 / 2922
GCD(6, 974) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 317) = 634
GCD(2, 317) = ( 2 x 317 ) / 634
GCD(2, 317) = 634 / 634
GCD(2, 317) = 1
GCD of 498, 912, 974, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 498, 912, 974, 317?
GCD of 498, 912, 974, 317 is 1
2. Where do I get the detailed procedure to find GCD of 498, 912, 974, 317?
You can find a detailed procedure to find GCD of 498, 912, 974, 317 on our page.
3. How to find GCD of 498, 912, 974, 317 on a calculator?
You can find the GCD of 498, 912, 974, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.