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 72, 326, 983, 534 i.e. 1 largest integer that divides all the numbers equally.
GCD of 72, 326, 983, 534 is 1
GCD(72, 326, 983, 534) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 72, 326, 983, 534 is 1
GCD(72, 326, 983, 534) = 1
Given Input numbers are 72, 326, 983, 534
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 534
List of positive integer divisors of 534 that divides 534 without a remainder.
1, 2, 3, 6, 89, 178, 267, 534
Greatest Common Divisior
We found the divisors of 72, 326, 983, 534 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 326, 983, 534 is 1.
Therefore, GCD of numbers 72, 326, 983, 534 is 1
Given Input Data is 72, 326, 983, 534
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 326 is 2 x 163
Prime Factorization of 983 is 983
Prime Factorization of 534 is 2 x 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(72, 326) = 11736
GCD(72, 326) = ( 72 x 326 ) / 11736
GCD(72, 326) = 23472 / 11736
GCD(72, 326) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 983
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 983) = 1966
GCD(2, 983) = ( 2 x 983 ) / 1966
GCD(2, 983) = 1966 / 1966
GCD(2, 983) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 534
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 534) = 534
GCD(1, 534) = ( 1 x 534 ) / 534
GCD(1, 534) = 534 / 534
GCD(1, 534) = 1
GCD of 72, 326, 983, 534 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 72, 326, 983, 534?
GCD of 72, 326, 983, 534 is 1
2. Where do I get the detailed procedure to find GCD of 72, 326, 983, 534?
You can find a detailed procedure to find GCD of 72, 326, 983, 534 on our page.
3. How to find GCD of 72, 326, 983, 534 on a calculator?
You can find the GCD of 72, 326, 983, 534 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.