GCD of 538, 696, 90, 493 Calculator

Given Input numbers are 538, 696, 90, 493

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 493

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

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 538, 696, 90, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 696, 90, 493 is 1.

Therefore, GCD of numbers 538, 696, 90, 493 is 1

Given Input Data is 538, 696, 90, 493

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 493 is 17 x 29

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(538, 696) = 187224

GCD(538, 696) = ( 538 x 696 ) / 187224

GCD(538, 696) = 374448 / 187224

GCD(538, 696) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 493

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

LCM(2, 493) = 986

GCD(2, 493) = ( 2 x 493 ) / 986

GCD(2, 493) = 986 / 986

GCD(2, 493) = 1

GCD of 538, 696, 90, 493 is 1

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• GCD of 620, 475, 58, 144
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1. What is the GCD of 538, 696, 90, 493?

GCD of 538, 696, 90, 493 is 1

2. Where do I get the detailed procedure to find GCD of 538, 696, 90, 493?

You can find a detailed procedure to find GCD of 538, 696, 90, 493 on our page.

3. How to find GCD of 538, 696, 90, 493 on a calculator?

You can find the GCD of 538, 696, 90, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.