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, 190, 73, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 190, 73, 540 is 1
GCD(600, 190, 73, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 190, 73, 540 is 1
GCD(600, 190, 73, 540) = 1
Given Input numbers are 600, 190, 73, 540
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 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Greatest Common Divisior
We found the divisors of 600, 190, 73, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 190, 73, 540 is 1.
Therefore, GCD of numbers 600, 190, 73, 540 is 1
Given Input Data is 600, 190, 73, 540
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 190 is 2 x 5 x 19
Prime Factorization of 73 is 73
Prime Factorization of 540 is 2 x 2 x 3 x 3 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(600, 190) = 11400
GCD(600, 190) = ( 600 x 190 ) / 11400
GCD(600, 190) = 114000 / 11400
GCD(600, 190) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 73) = 730
GCD(10, 73) = ( 10 x 73 ) / 730
GCD(10, 73) = 730 / 730
GCD(10, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
GCD of 600, 190, 73, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 600, 190, 73, 540?
GCD of 600, 190, 73, 540 is 1
2. Where do I get the detailed procedure to find GCD of 600, 190, 73, 540?
You can find a detailed procedure to find GCD of 600, 190, 73, 540 on our page.
3. How to find GCD of 600, 190, 73, 540 on a calculator?
You can find the GCD of 600, 190, 73, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.