GCD of 112, 657, 493, 537 Calculator

Given Input numbers are 112, 657, 493, 537

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

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 537

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

1, 3, 179, 537

Greatest Common Divisior

We found the divisors of 112, 657, 493, 537 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 112, 657, 493, 537 is 1.

Therefore, GCD of numbers 112, 657, 493, 537 is 1

Given Input Data is 112, 657, 493, 537

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

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 493 is 17 x 29

Prime Factorization of 537 is 3 x 179

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(112, 657) = 73584

GCD(112, 657) = ( 112 x 657 ) / 73584

GCD(112, 657) = 73584 / 73584

GCD(112, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 537

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

LCM(1, 537) = 537

GCD(1, 537) = ( 1 x 537 ) / 537

GCD(1, 537) = 537 / 537

GCD(1, 537) = 1

GCD of 112, 657, 493, 537 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 213, 621, 156
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• GCD of 487, 867, 203, 744

1. What is the GCD of 112, 657, 493, 537?

GCD of 112, 657, 493, 537 is 1

2. Where do I get the detailed procedure to find GCD of 112, 657, 493, 537?

You can find a detailed procedure to find GCD of 112, 657, 493, 537 on our page.

3. How to find GCD of 112, 657, 493, 537 on a calculator?

You can find the GCD of 112, 657, 493, 537 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.