GCD of 264, 413, 906 Calculator

Given Input numbers are 264, 413, 906

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

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 264, 413, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 413, 906 is 1.

Therefore, GCD of numbers 264, 413, 906 is 1

Given Input Data is 264, 413, 906

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

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 906 is 2 x 3 x 151

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(264, 413) = 109032

GCD(264, 413) = ( 264 x 413 ) / 109032

GCD(264, 413) = 109032 / 109032

GCD(264, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 264, 413, 906 is 1

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1. What is the GCD of 264, 413, 906?

GCD of 264, 413, 906 is 1

2. Where do I get the detailed procedure to find GCD of 264, 413, 906?

You can find a detailed procedure to find GCD of 264, 413, 906 on our page.

3. How to find GCD of 264, 413, 906 on a calculator?

You can find the GCD of 264, 413, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.