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 299, 371, 426, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 371, 426, 324 is 1
GCD(299, 371, 426, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 371, 426, 324 is 1
GCD(299, 371, 426, 324) = 1
Given Input numbers are 299, 371, 426, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
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 299, 371, 426, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 371, 426, 324 is 1.
Therefore, GCD of numbers 299, 371, 426, 324 is 1
Given Input Data is 299, 371, 426, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 371 is 7 x 53
Prime Factorization of 426 is 2 x 3 x 71
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(299, 371) = 110929
GCD(299, 371) = ( 299 x 371 ) / 110929
GCD(299, 371) = 110929 / 110929
GCD(299, 371) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 426) = 426
GCD(1, 426) = ( 1 x 426 ) / 426
GCD(1, 426) = 426 / 426
GCD(1, 426) = 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 299, 371, 426, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 371, 426, 324?
GCD of 299, 371, 426, 324 is 1
2. Where do I get the detailed procedure to find GCD of 299, 371, 426, 324?
You can find a detailed procedure to find GCD of 299, 371, 426, 324 on our page.
3. How to find GCD of 299, 371, 426, 324 on a calculator?
You can find the GCD of 299, 371, 426, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.