GCD of 600, 183, 980 Calculator
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 600, 183, 980 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 183, 980 is 1
GCD(600, 183, 980) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 183, 980 is 1
GCD(600, 183, 980) = 1
GCDof 600,183,980 is 1
Given Input numbers are 600, 183, 980
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Greatest Common Divisior
We found the divisors of 600, 183, 980 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 183, 980 is 1.
Therefore, GCD of numbers 600, 183, 980 is 1
Given Input Data is 600, 183, 980
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 183 is 3 x 61
Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 600, 183, 980 using LCM Formula
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(600, 183) = 36600
GCD(600, 183) = ( 600 x 183 ) / 36600
GCD(600, 183) = 109800 / 36600
GCD(600, 183) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 980
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 980) = 2940
GCD(3, 980) = ( 3 x 980 ) / 2940
GCD(3, 980) = 2940 / 2940
GCD(3, 980) = 1
GCD of 600, 183, 980 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 600, 183, 980
1. What is the GCD of 600, 183, 980?
GCD of 600, 183, 980 is 1
2. Where do I get the detailed procedure to find GCD of 600, 183, 980?
You can find a detailed procedure to find GCD of 600, 183, 980 on our page.
3. How to find GCD of 600, 183, 980 on a calculator?
You can find the GCD of 600, 183, 980 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.