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, 554, 393, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 554, 393, 267 is 1
GCD(324, 554, 393, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 554, 393, 267 is 1
GCD(324, 554, 393, 267) = 1
Given Input numbers are 324, 554, 393, 267
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 554
List of positive integer divisors of 554 that divides 554 without a remainder.
1, 2, 277, 554
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 324, 554, 393, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 554, 393, 267 is 1.
Therefore, GCD of numbers 324, 554, 393, 267 is 1
Given Input Data is 324, 554, 393, 267
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 554 is 2 x 277
Prime Factorization of 393 is 3 x 131
Prime Factorization of 267 is 3 x 89
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, 554) = 89748
GCD(324, 554) = ( 324 x 554 ) / 89748
GCD(324, 554) = 179496 / 89748
GCD(324, 554) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 393) = 786
GCD(2, 393) = ( 2 x 393 ) / 786
GCD(2, 393) = 786 / 786
GCD(2, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 324, 554, 393, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 554, 393, 267?
GCD of 324, 554, 393, 267 is 1
2. Where do I get the detailed procedure to find GCD of 324, 554, 393, 267?
You can find a detailed procedure to find GCD of 324, 554, 393, 267 on our page.
3. How to find GCD of 324, 554, 393, 267 on a calculator?
You can find the GCD of 324, 554, 393, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.