GCD of 299, 282, 724, 135 Calculator

Given Input numbers are 299, 282, 724, 135

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 724

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

1, 2, 4, 181, 362, 724

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Greatest Common Divisior

We found the divisors of 299, 282, 724, 135 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 282, 724, 135 is 1.

Therefore, GCD of numbers 299, 282, 724, 135 is 1

Given Input Data is 299, 282, 724, 135

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 135 is 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(299, 282) = 84318

GCD(299, 282) = ( 299 x 282 ) / 84318

GCD(299, 282) = 84318 / 84318

GCD(299, 282) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

GCD of 299, 282, 724, 135 is 1

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1. What is the GCD of 299, 282, 724, 135?

GCD of 299, 282, 724, 135 is 1

2. Where do I get the detailed procedure to find GCD of 299, 282, 724, 135?

You can find a detailed procedure to find GCD of 299, 282, 724, 135 on our page.

3. How to find GCD of 299, 282, 724, 135 on a calculator?

You can find the GCD of 299, 282, 724, 135 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.