GCD of 260, 522, 642, 109 Calculator

Given Input numbers are 260, 522, 642, 109

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

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 109

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

1, 109

Greatest Common Divisior

We found the divisors of 260, 522, 642, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 522, 642, 109 is 1.

Therefore, GCD of numbers 260, 522, 642, 109 is 1

Given Input Data is 260, 522, 642, 109

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

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 109 is 109

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(260, 522) = 67860

GCD(260, 522) = ( 260 x 522 ) / 67860

GCD(260, 522) = 135720 / 67860

GCD(260, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 109

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

LCM(2, 109) = 218

GCD(2, 109) = ( 2 x 109 ) / 218

GCD(2, 109) = 218 / 218

GCD(2, 109) = 1

GCD of 260, 522, 642, 109 is 1

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1. What is the GCD of 260, 522, 642, 109?

GCD of 260, 522, 642, 109 is 1

2. Where do I get the detailed procedure to find GCD of 260, 522, 642, 109?

You can find a detailed procedure to find GCD of 260, 522, 642, 109 on our page.

3. How to find GCD of 260, 522, 642, 109 on a calculator?

You can find the GCD of 260, 522, 642, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.