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 328, 282, 531, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 282, 531, 332 is 1
GCD(328, 282, 531, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 282, 531, 332 is 1
GCD(328, 282, 531, 332) = 1
Given Input numbers are 328, 282, 531, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 531
List of positive integer divisors of 531 that divides 531 without a remainder.
1, 3, 9, 59, 177, 531
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 328, 282, 531, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 282, 531, 332 is 1.
Therefore, GCD of numbers 328, 282, 531, 332 is 1
Given Input Data is 328, 282, 531, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 531 is 3 x 3 x 59
Prime Factorization of 332 is 2 x 2 x 83
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(328, 282) = 46248
GCD(328, 282) = ( 328 x 282 ) / 46248
GCD(328, 282) = 92496 / 46248
GCD(328, 282) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 531
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 531) = 1062
GCD(2, 531) = ( 2 x 531 ) / 1062
GCD(2, 531) = 1062 / 1062
GCD(2, 531) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
GCD of 328, 282, 531, 332 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 282, 531, 332?
GCD of 328, 282, 531, 332 is 1
2. Where do I get the detailed procedure to find GCD of 328, 282, 531, 332?
You can find a detailed procedure to find GCD of 328, 282, 531, 332 on our page.
3. How to find GCD of 328, 282, 531, 332 on a calculator?
You can find the GCD of 328, 282, 531, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.