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 189, 494, 428, 540 i.e. 1 largest integer that divides all the numbers equally.
GCD of 189, 494, 428, 540 is 1
GCD(189, 494, 428, 540) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 189, 494, 428, 540 is 1
GCD(189, 494, 428, 540) = 1
Given Input numbers are 189, 494, 428, 540
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 189
List of positive integer divisors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 494
List of positive integer divisors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
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 189, 494, 428, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 494, 428, 540 is 1.
Therefore, GCD of numbers 189, 494, 428, 540 is 1
Given Input Data is 189, 494, 428, 540
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 189 is 3 x 3 x 3 x 7
Prime Factorization of 494 is 2 x 13 x 19
Prime Factorization of 428 is 2 x 2 x 107
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(189, 494) = 93366
GCD(189, 494) = ( 189 x 494 ) / 93366
GCD(189, 494) = 93366 / 93366
GCD(189, 494) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 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 189, 494, 428, 540 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 189, 494, 428, 540?
GCD of 189, 494, 428, 540 is 1
2. Where do I get the detailed procedure to find GCD of 189, 494, 428, 540?
You can find a detailed procedure to find GCD of 189, 494, 428, 540 on our page.
3. How to find GCD of 189, 494, 428, 540 on a calculator?
You can find the GCD of 189, 494, 428, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.