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 983, 342, 72 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 342, 72 is 1
GCD(983, 342, 72) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 342, 72 is 1
GCD(983, 342, 72) = 1
Given Input numbers are 983, 342, 72
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
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
Greatest Common Divisior
We found the divisors of 983, 342, 72 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 342, 72 is 1.
Therefore, GCD of numbers 983, 342, 72 is 1
Given Input Data is 983, 342, 72
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 72 is 2 x 2 x 2 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(983, 342) = 336186
GCD(983, 342) = ( 983 x 342 ) / 336186
GCD(983, 342) = 336186 / 336186
GCD(983, 342) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
GCD of 983, 342, 72 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 342, 72?
GCD of 983, 342, 72 is 1
2. Where do I get the detailed procedure to find GCD of 983, 342, 72?
You can find a detailed procedure to find GCD of 983, 342, 72 on our page.
3. How to find GCD of 983, 342, 72 on a calculator?
You can find the GCD of 983, 342, 72 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.