GCD of 324, 286, 849, 709 Calculator

Given Input numbers are 324, 286, 849, 709

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 324, 286, 849, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 286, 849, 709 is 1.

Therefore, GCD of numbers 324, 286, 849, 709 is 1

Given Input Data is 324, 286, 849, 709

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 849 is 3 x 283

Prime Factorization of 709 is 709

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(324, 286) = 46332

GCD(324, 286) = ( 324 x 286 ) / 46332

GCD(324, 286) = 92664 / 46332

GCD(324, 286) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 709

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

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

GCD(1, 709) = 709 / 709

GCD(1, 709) = 1

GCD of 324, 286, 849, 709 is 1

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1. What is the GCD of 324, 286, 849, 709?

GCD of 324, 286, 849, 709 is 1

2. Where do I get the detailed procedure to find GCD of 324, 286, 849, 709?

You can find a detailed procedure to find GCD of 324, 286, 849, 709 on our page.

3. How to find GCD of 324, 286, 849, 709 on a calculator?

You can find the GCD of 324, 286, 849, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.