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 316, 747, 412, 598 i.e. 1 largest integer that divides all the numbers equally.
GCD of 316, 747, 412, 598 is 1
GCD(316, 747, 412, 598) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 316, 747, 412, 598 is 1
GCD(316, 747, 412, 598) = 1
Given Input numbers are 316, 747, 412, 598
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 316
List of positive integer divisors of 316 that divides 316 without a remainder.
1, 2, 4, 79, 158, 316
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Greatest Common Divisior
We found the divisors of 316, 747, 412, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 316, 747, 412, 598 is 1.
Therefore, GCD of numbers 316, 747, 412, 598 is 1
Given Input Data is 316, 747, 412, 598
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 316 is 2 x 2 x 79
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 598 is 2 x 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(316, 747) = 236052
GCD(316, 747) = ( 316 x 747 ) / 236052
GCD(316, 747) = 236052 / 236052
GCD(316, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 412) = 412
GCD(1, 412) = ( 1 x 412 ) / 412
GCD(1, 412) = 412 / 412
GCD(1, 412) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 598
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 598) = 598
GCD(1, 598) = ( 1 x 598 ) / 598
GCD(1, 598) = 598 / 598
GCD(1, 598) = 1
GCD of 316, 747, 412, 598 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 316, 747, 412, 598?
GCD of 316, 747, 412, 598 is 1
2. Where do I get the detailed procedure to find GCD of 316, 747, 412, 598?
You can find a detailed procedure to find GCD of 316, 747, 412, 598 on our page.
3. How to find GCD of 316, 747, 412, 598 on a calculator?
You can find the GCD of 316, 747, 412, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.