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, 756, 89, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 756, 89, 201 is 1
GCD(324, 756, 89, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 756, 89, 201 is 1
GCD(324, 756, 89, 201) = 1
Given Input numbers are 324, 756, 89, 201
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 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 324, 756, 89, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 756, 89, 201 is 1.
Therefore, GCD of numbers 324, 756, 89, 201 is 1
Given Input Data is 324, 756, 89, 201
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 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 89 is 89
Prime Factorization of 201 is 3 x 67
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, 756) = 2268
GCD(324, 756) = ( 324 x 756 ) / 2268
GCD(324, 756) = 244944 / 2268
GCD(324, 756) = 108
Step2:
Here we consider the GCD from the above i.e. 108 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(108, 89) = 9612
GCD(108, 89) = ( 108 x 89 ) / 9612
GCD(108, 89) = 9612 / 9612
GCD(108, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 201) = 201
GCD(1, 201) = ( 1 x 201 ) / 201
GCD(1, 201) = 201 / 201
GCD(1, 201) = 1
GCD of 324, 756, 89, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 756, 89, 201?
GCD of 324, 756, 89, 201 is 1
2. Where do I get the detailed procedure to find GCD of 324, 756, 89, 201?
You can find a detailed procedure to find GCD of 324, 756, 89, 201 on our page.
3. How to find GCD of 324, 756, 89, 201 on a calculator?
You can find the GCD of 324, 756, 89, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.