GCD of 537, 873, 57, 747 Calculator

Given Input numbers are 537, 873, 57, 747

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 747

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

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 537, 873, 57, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 873, 57, 747 is 3.

Therefore, GCD of numbers 537, 873, 57, 747 is 3

Given Input Data is 537, 873, 57, 747

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 57 is 3 x 19

Prime Factorization of 747 is 3 x 3 x 83

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 873) = 156267

GCD(537, 873) = ( 537 x 873 ) / 156267

GCD(537, 873) = 468801 / 156267

GCD(537, 873) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 57

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

LCM(3, 57) = 57

GCD(3, 57) = ( 3 x 57 ) / 57

GCD(3, 57) = 171 / 57

GCD(3, 57) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 747

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

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

GCD(3, 747) = 2241 / 747

GCD(3, 747) = 3

GCD of 537, 873, 57, 747 is 3

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1. What is the GCD of 537, 873, 57, 747?

GCD of 537, 873, 57, 747 is 3

2. Where do I get the detailed procedure to find GCD of 537, 873, 57, 747?

You can find a detailed procedure to find GCD of 537, 873, 57, 747 on our page.

3. How to find GCD of 537, 873, 57, 747 on a calculator?

You can find the GCD of 537, 873, 57, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.