GCD of 282, 636, 269, 598 Calculator

Given Input numbers are 282, 636, 269, 598

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

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 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 282, 636, 269, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 636, 269, 598 is 1.

Therefore, GCD of numbers 282, 636, 269, 598 is 1

Given Input Data is 282, 636, 269, 598

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 269 is 269

Prime Factorization of 598 is 2 x 13 x 23

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(282, 636) = 29892

GCD(282, 636) = ( 282 x 636 ) / 29892

GCD(282, 636) = 179352 / 29892

GCD(282, 636) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 269

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

LCM(6, 269) = 1614

GCD(6, 269) = ( 6 x 269 ) / 1614

GCD(6, 269) = 1614 / 1614

GCD(6, 269) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 282, 636, 269, 598 is 1

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1. What is the GCD of 282, 636, 269, 598?

GCD of 282, 636, 269, 598 is 1

2. Where do I get the detailed procedure to find GCD of 282, 636, 269, 598?

You can find a detailed procedure to find GCD of 282, 636, 269, 598 on our page.

3. How to find GCD of 282, 636, 269, 598 on a calculator?

You can find the GCD of 282, 636, 269, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.