GCD of 538, 254, 79, 652 Calculator

Given Input numbers are 538, 254, 79, 652

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 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 538, 254, 79, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 254, 79, 652 is 1.

Therefore, GCD of numbers 538, 254, 79, 652 is 1

Given Input Data is 538, 254, 79, 652

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 254 is 2 x 127

Prime Factorization of 79 is 79

Prime Factorization of 652 is 2 x 2 x 163

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, 254) = 68326

GCD(538, 254) = ( 538 x 254 ) / 68326

GCD(538, 254) = 136652 / 68326

GCD(538, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 538, 254, 79, 652 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 972, 29, 357
• GCD of 719, 742, 53, 906
• GCD of 905, 231, 25, 194
• GCD of 955, 693, 53, 626
• GCD of 872, 553, 21, 315

1. What is the GCD of 538, 254, 79, 652?

GCD of 538, 254, 79, 652 is 1

2. Where do I get the detailed procedure to find GCD of 538, 254, 79, 652?

You can find a detailed procedure to find GCD of 538, 254, 79, 652 on our page.

3. How to find GCD of 538, 254, 79, 652 on a calculator?

You can find the GCD of 538, 254, 79, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.