GCD of 261, 109, 52, 493 Calculator

Given Input numbers are 261, 109, 52, 493

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

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 261, 109, 52, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 109, 52, 493 is 1.

Therefore, GCD of numbers 261, 109, 52, 493 is 1

Given Input Data is 261, 109, 52, 493

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 109 is 109

Prime Factorization of 52 is 2 x 2 x 13

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(261, 109) = 28449

GCD(261, 109) = ( 261 x 109 ) / 28449

GCD(261, 109) = 28449 / 28449

GCD(261, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

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

GCD of 261, 109, 52, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 542, 41, 457
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• GCD of 642, 115, 66, 134
• GCD of 726, 678, 73, 709
• GCD of 120, 827, 23, 618

1. What is the GCD of 261, 109, 52, 493?

GCD of 261, 109, 52, 493 is 1

2. Where do I get the detailed procedure to find GCD of 261, 109, 52, 493?

You can find a detailed procedure to find GCD of 261, 109, 52, 493 on our page.

3. How to find GCD of 261, 109, 52, 493 on a calculator?

You can find the GCD of 261, 109, 52, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.