GCD of 282, 747, 537, 634 Calculator

Given Input numbers are 282, 747, 537, 634

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 537

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

1, 3, 179, 537

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Greatest Common Divisior

We found the divisors of 282, 747, 537, 634 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 747, 537, 634 is 1.

Therefore, GCD of numbers 282, 747, 537, 634 is 1

Given Input Data is 282, 747, 537, 634

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 747 is 3 x 3 x 83

Prime Factorization of 537 is 3 x 179

Prime Factorization of 634 is 2 x 317

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, 747) = 70218

GCD(282, 747) = ( 282 x 747 ) / 70218

GCD(282, 747) = 210654 / 70218

GCD(282, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 537

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

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

GCD(3, 537) = 1611 / 537

GCD(3, 537) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 634

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

LCM(3, 634) = 1902

GCD(3, 634) = ( 3 x 634 ) / 1902

GCD(3, 634) = 1902 / 1902

GCD(3, 634) = 1

GCD of 282, 747, 537, 634 is 1

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1. What is the GCD of 282, 747, 537, 634?

GCD of 282, 747, 537, 634 is 1

2. Where do I get the detailed procedure to find GCD of 282, 747, 537, 634?

You can find a detailed procedure to find GCD of 282, 747, 537, 634 on our page.

3. How to find GCD of 282, 747, 537, 634 on a calculator?

You can find the GCD of 282, 747, 537, 634 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.