GCD of 282, 537, 782, 272 Calculator

Given Input numbers are 282, 537, 782, 272

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 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 282, 537, 782, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 537, 782, 272 is 1.

Therefore, GCD of numbers 282, 537, 782, 272 is 1

Given Input Data is 282, 537, 782, 272

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 537 is 3 x 179

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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, 537) = 50478

GCD(282, 537) = ( 282 x 537 ) / 50478

GCD(282, 537) = 151434 / 50478

GCD(282, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 282, 537, 782, 272 is 1

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1. What is the GCD of 282, 537, 782, 272?

GCD of 282, 537, 782, 272 is 1

2. Where do I get the detailed procedure to find GCD of 282, 537, 782, 272?

You can find a detailed procedure to find GCD of 282, 537, 782, 272 on our page.

3. How to find GCD of 282, 537, 782, 272 on a calculator?

You can find the GCD of 282, 537, 782, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.