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 974, 502, 831, 299 i.e. 1 largest integer that divides all the numbers equally.
GCD of 974, 502, 831, 299 is 1
GCD(974, 502, 831, 299) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 502, 831, 299 is 1
GCD(974, 502, 831, 299) = 1
Given Input numbers are 974, 502, 831, 299
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Greatest Common Divisior
We found the divisors of 974, 502, 831, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 502, 831, 299 is 1.
Therefore, GCD of numbers 974, 502, 831, 299 is 1
Given Input Data is 974, 502, 831, 299
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 502 is 2 x 251
Prime Factorization of 831 is 3 x 277
Prime Factorization of 299 is 13 x 23
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(974, 502) = 244474
GCD(974, 502) = ( 974 x 502 ) / 244474
GCD(974, 502) = 488948 / 244474
GCD(974, 502) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 831) = 1662
GCD(2, 831) = ( 2 x 831 ) / 1662
GCD(2, 831) = 1662 / 1662
GCD(2, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 299
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
GCD(1, 299) = 299 / 299
GCD(1, 299) = 1
GCD of 974, 502, 831, 299 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 502, 831, 299?
GCD of 974, 502, 831, 299 is 1
2. Where do I get the detailed procedure to find GCD of 974, 502, 831, 299?
You can find a detailed procedure to find GCD of 974, 502, 831, 299 on our page.
3. How to find GCD of 974, 502, 831, 299 on a calculator?
You can find the GCD of 974, 502, 831, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.