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, 299, 60 i.e. 1 largest integer that divides all the numbers equally.
GCD of 983, 299, 60 is 1
GCD(983, 299, 60) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 983, 299, 60 is 1
GCD(983, 299, 60) = 1
Given Input numbers are 983, 299, 60
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 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Greatest Common Divisior
We found the divisors of 983, 299, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 299, 60 is 1.
Therefore, GCD of numbers 983, 299, 60 is 1
Given Input Data is 983, 299, 60
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 983 is 983
Prime Factorization of 299 is 13 x 23
Prime Factorization of 60 is 2 x 2 x 3 x 5
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, 299) = 293917
GCD(983, 299) = ( 983 x 299 ) / 293917
GCD(983, 299) = 293917 / 293917
GCD(983, 299) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 60
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 60) = 60
GCD(1, 60) = ( 1 x 60 ) / 60
GCD(1, 60) = 60 / 60
GCD(1, 60) = 1
GCD of 983, 299, 60 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 983, 299, 60?
GCD of 983, 299, 60 is 1
2. Where do I get the detailed procedure to find GCD of 983, 299, 60?
You can find a detailed procedure to find GCD of 983, 299, 60 on our page.
3. How to find GCD of 983, 299, 60 on a calculator?
You can find the GCD of 983, 299, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.