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 302, 687, 324, 279 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 687, 324, 279 is 1
GCD(302, 687, 324, 279) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 687, 324, 279 is 1
GCD(302, 687, 324, 279) = 1
Given Input numbers are 302, 687, 324, 279
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Greatest Common Divisior
We found the divisors of 302, 687, 324, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 687, 324, 279 is 1.
Therefore, GCD of numbers 302, 687, 324, 279 is 1
Given Input Data is 302, 687, 324, 279
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 687 is 3 x 229
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 279 is 3 x 3 x 31
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(302, 687) = 207474
GCD(302, 687) = ( 302 x 687 ) / 207474
GCD(302, 687) = 207474 / 207474
GCD(302, 687) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 279) = 279
GCD(1, 279) = ( 1 x 279 ) / 279
GCD(1, 279) = 279 / 279
GCD(1, 279) = 1
GCD of 302, 687, 324, 279 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 687, 324, 279?
GCD of 302, 687, 324, 279 is 1
2. Where do I get the detailed procedure to find GCD of 302, 687, 324, 279?
You can find a detailed procedure to find GCD of 302, 687, 324, 279 on our page.
3. How to find GCD of 302, 687, 324, 279 on a calculator?
You can find the GCD of 302, 687, 324, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.