GCD of 537, 274, 14, 728 Calculator

Given Input numbers are 537, 274, 14, 728

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 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 537, 274, 14, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 274, 14, 728 is 1.

Therefore, GCD of numbers 537, 274, 14, 728 is 1

Given Input Data is 537, 274, 14, 728

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 274 is 2 x 137

Prime Factorization of 14 is 2 x 7

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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, 274) = 147138

GCD(537, 274) = ( 537 x 274 ) / 147138

GCD(537, 274) = 147138 / 147138

GCD(537, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 537, 274, 14, 728 is 1

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• GCD of 235, 199, 17, 849
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• GCD of 606, 800, 46, 617

1. What is the GCD of 537, 274, 14, 728?

GCD of 537, 274, 14, 728 is 1

2. Where do I get the detailed procedure to find GCD of 537, 274, 14, 728?

You can find a detailed procedure to find GCD of 537, 274, 14, 728 on our page.

3. How to find GCD of 537, 274, 14, 728 on a calculator?

You can find the GCD of 537, 274, 14, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.