GCD of 626, 264, 258, 913 Calculator

Given Input numbers are 626, 264, 258, 913

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

Divisors of 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Greatest Common Divisior

We found the divisors of 626, 264, 258, 913 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 626, 264, 258, 913 is 1.

Therefore, GCD of numbers 626, 264, 258, 913 is 1

Given Input Data is 626, 264, 258, 913

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

Prime Factorization of 626 is 2 x 313

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 913 is 11 x 83

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(626, 264) = 82632

GCD(626, 264) = ( 626 x 264 ) / 82632

GCD(626, 264) = 165264 / 82632

GCD(626, 264) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

GCD of 626, 264, 258, 913 is 1

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1. What is the GCD of 626, 264, 258, 913?

GCD of 626, 264, 258, 913 is 1

2. Where do I get the detailed procedure to find GCD of 626, 264, 258, 913?

You can find a detailed procedure to find GCD of 626, 264, 258, 913 on our page.

3. How to find GCD of 626, 264, 258, 913 on a calculator?

You can find the GCD of 626, 264, 258, 913 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.