GCD of 782, 609, 204, 724 Calculator

Given Input numbers are 782, 609, 204, 724

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 782, 609, 204, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 609, 204, 724 is 1.

Therefore, GCD of numbers 782, 609, 204, 724 is 1

Given Input Data is 782, 609, 204, 724

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 609 is 3 x 7 x 29

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

Prime Factorization of 724 is 2 x 2 x 181

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(782, 609) = 476238

GCD(782, 609) = ( 782 x 609 ) / 476238

GCD(782, 609) = 476238 / 476238

GCD(782, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 724

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

GCD(1, 724) = 724 / 724

GCD(1, 724) = 1

GCD of 782, 609, 204, 724 is 1

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1. What is the GCD of 782, 609, 204, 724?

GCD of 782, 609, 204, 724 is 1

2. Where do I get the detailed procedure to find GCD of 782, 609, 204, 724?

You can find a detailed procedure to find GCD of 782, 609, 204, 724 on our page.

3. How to find GCD of 782, 609, 204, 724 on a calculator?

You can find the GCD of 782, 609, 204, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.