GCD of 309, 297, 913, 258 Calculator

Given Input numbers are 309, 297, 913, 258

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

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

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 913

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

1, 11, 83, 913

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 309, 297, 913, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 297, 913, 258 is 1.

Therefore, GCD of numbers 309, 297, 913, 258 is 1

Given Input Data is 309, 297, 913, 258

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

Prime Factorization of 309 is 3 x 103

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

Prime Factorization of 913 is 11 x 83

Prime Factorization of 258 is 2 x 3 x 43

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(309, 297) = 30591

GCD(309, 297) = ( 309 x 297 ) / 30591

GCD(309, 297) = 91773 / 30591

GCD(309, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 913

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

LCM(3, 913) = 2739

GCD(3, 913) = ( 3 x 913 ) / 2739

GCD(3, 913) = 2739 / 2739

GCD(3, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 309, 297, 913, 258 is 1

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1. What is the GCD of 309, 297, 913, 258?

GCD of 309, 297, 913, 258 is 1

2. Where do I get the detailed procedure to find GCD of 309, 297, 913, 258?

You can find a detailed procedure to find GCD of 309, 297, 913, 258 on our page.

3. How to find GCD of 309, 297, 913, 258 on a calculator?

You can find the GCD of 309, 297, 913, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.