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 324, 276, 31, 597 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 276, 31, 597 is 1
GCD(324, 276, 31, 597) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 276, 31, 597 is 1
GCD(324, 276, 31, 597) = 1
Given Input numbers are 324, 276, 31, 597
To find the GCD of numbers using factoring list out all the divisors of each number
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 597
List of positive integer divisors of 597 that divides 597 without a remainder.
1, 3, 199, 597
Greatest Common Divisior
We found the divisors of 324, 276, 31, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 276, 31, 597 is 1.
Therefore, GCD of numbers 324, 276, 31, 597 is 1
Given Input Data is 324, 276, 31, 597
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 276 is 2 x 2 x 3 x 23
Prime Factorization of 31 is 31
Prime Factorization of 597 is 3 x 199
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(324, 276) = 7452
GCD(324, 276) = ( 324 x 276 ) / 7452
GCD(324, 276) = 89424 / 7452
GCD(324, 276) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 31) = 372
GCD(12, 31) = ( 12 x 31 ) / 372
GCD(12, 31) = 372 / 372
GCD(12, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 597
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 597) = 597
GCD(1, 597) = ( 1 x 597 ) / 597
GCD(1, 597) = 597 / 597
GCD(1, 597) = 1
GCD of 324, 276, 31, 597 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 276, 31, 597?
GCD of 324, 276, 31, 597 is 1
2. Where do I get the detailed procedure to find GCD of 324, 276, 31, 597?
You can find a detailed procedure to find GCD of 324, 276, 31, 597 on our page.
3. How to find GCD of 324, 276, 31, 597 on a calculator?
You can find the GCD of 324, 276, 31, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.