GCD of 537, 684, 54, 533 Calculator

Given Input numbers are 537, 684, 54, 533

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

Divisors of 537

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

1, 3, 179, 537

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 537, 684, 54, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 684, 54, 533 is 1.

Therefore, GCD of numbers 537, 684, 54, 533 is 1

Given Input Data is 537, 684, 54, 533

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 533 is 13 x 41

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(537, 684) = 122436

GCD(537, 684) = ( 537 x 684 ) / 122436

GCD(537, 684) = 367308 / 122436

GCD(537, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 54

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

LCM(3, 54) = 54

GCD(3, 54) = ( 3 x 54 ) / 54

GCD(3, 54) = 162 / 54

GCD(3, 54) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 533

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

LCM(3, 533) = 1599

GCD(3, 533) = ( 3 x 533 ) / 1599

GCD(3, 533) = 1599 / 1599

GCD(3, 533) = 1

GCD of 537, 684, 54, 533 is 1

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• GCD of 489, 621, 84, 645
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• GCD of 664, 811, 28, 748

1. What is the GCD of 537, 684, 54, 533?

GCD of 537, 684, 54, 533 is 1

2. Where do I get the detailed procedure to find GCD of 537, 684, 54, 533?

You can find a detailed procedure to find GCD of 537, 684, 54, 533 on our page.

3. How to find GCD of 537, 684, 54, 533 on a calculator?

You can find the GCD of 537, 684, 54, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.