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 39, 242, 428, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 39, 242, 428, 324 is 1
GCD(39, 242, 428, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 242, 428, 324 is 1
GCD(39, 242, 428, 324) = 1
Given Input numbers are 39, 242, 428, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 242
List of positive integer divisors of 242 that divides 242 without a remainder.
1, 2, 11, 22, 121, 242
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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
Greatest Common Divisior
We found the divisors of 39, 242, 428, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 242, 428, 324 is 1.
Therefore, GCD of numbers 39, 242, 428, 324 is 1
Given Input Data is 39, 242, 428, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 242 is 2 x 11 x 11
Prime Factorization of 428 is 2 x 2 x 107
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(39, 242) = 9438
GCD(39, 242) = ( 39 x 242 ) / 9438
GCD(39, 242) = 9438 / 9438
GCD(39, 242) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
Step3:
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
GCD of 39, 242, 428, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 242, 428, 324?
GCD of 39, 242, 428, 324 is 1
2. Where do I get the detailed procedure to find GCD of 39, 242, 428, 324?
You can find a detailed procedure to find GCD of 39, 242, 428, 324 on our page.
3. How to find GCD of 39, 242, 428, 324 on a calculator?
You can find the GCD of 39, 242, 428, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.