GCD of 538, 260, 297, 548 Calculator

Given Input numbers are 538, 260, 297, 548

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 538, 260, 297, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 260, 297, 548 is 1.

Therefore, GCD of numbers 538, 260, 297, 548 is 1

Given Input Data is 538, 260, 297, 548

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 548 is 2 x 2 x 137

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, 260) = 69940

GCD(538, 260) = ( 538 x 260 ) / 69940

GCD(538, 260) = 139880 / 69940

GCD(538, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 538, 260, 297, 548 is 1

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1. What is the GCD of 538, 260, 297, 548?

GCD of 538, 260, 297, 548 is 1

2. Where do I get the detailed procedure to find GCD of 538, 260, 297, 548?

You can find a detailed procedure to find GCD of 538, 260, 297, 548 on our page.

3. How to find GCD of 538, 260, 297, 548 on a calculator?

You can find the GCD of 538, 260, 297, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.