GCD of 743, 204, 540 Calculator

Given Input numbers are 743, 204, 540

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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 743, 204, 540 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 204, 540 is 1.

Therefore, GCD of numbers 743, 204, 540 is 1

Given Input Data is 743, 204, 540

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 743 is 743

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(743, 204) = 151572

GCD(743, 204) = ( 743 x 204 ) / 151572

GCD(743, 204) = 151572 / 151572

GCD(743, 204) = 1

Step2:

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 743, 204, 540 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 382, 240
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• GCD of 615, 927, 560
• GCD of 405, 720, 274
• GCD of 249, 704, 782

1. What is the GCD of 743, 204, 540?

GCD of 743, 204, 540 is 1

2. Where do I get the detailed procedure to find GCD of 743, 204, 540?

You can find a detailed procedure to find GCD of 743, 204, 540 on our page.

3. How to find GCD of 743, 204, 540 on a calculator?

You can find the GCD of 743, 204, 540 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.