GCD of 26, 409, 297, 676 Calculator

Given Input numbers are 26, 409, 297, 676

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

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

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 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 26, 409, 297, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 409, 297, 676 is 1.

Therefore, GCD of numbers 26, 409, 297, 676 is 1

Given Input Data is 26, 409, 297, 676

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 409 is 409

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

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(26, 409) = 10634

GCD(26, 409) = ( 26 x 409 ) / 10634

GCD(26, 409) = 10634 / 10634

GCD(26, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 26, 409, 297, 676 is 1

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1. What is the GCD of 26, 409, 297, 676?

GCD of 26, 409, 297, 676 is 1

2. Where do I get the detailed procedure to find GCD of 26, 409, 297, 676?

You can find a detailed procedure to find GCD of 26, 409, 297, 676 on our page.

3. How to find GCD of 26, 409, 297, 676 on a calculator?

You can find the GCD of 26, 409, 297, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.