GCD of 906, 972, 413 Calculator

Given Input numbers are 906, 972, 413

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

Divisors of 906

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

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 413

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

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 906, 972, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 972, 413 is 1.

Therefore, GCD of numbers 906, 972, 413 is 1

Given Input Data is 906, 972, 413

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 413 is 7 x 59

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(906, 972) = 146772

GCD(906, 972) = ( 906 x 972 ) / 146772

GCD(906, 972) = 880632 / 146772

GCD(906, 972) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 413

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

LCM(6, 413) = 2478

GCD(6, 413) = ( 6 x 413 ) / 2478

GCD(6, 413) = 2478 / 2478

GCD(6, 413) = 1

GCD of 906, 972, 413 is 1

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• GCD of 241, 619, 861
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1. What is the GCD of 906, 972, 413?

GCD of 906, 972, 413 is 1

2. Where do I get the detailed procedure to find GCD of 906, 972, 413?

You can find a detailed procedure to find GCD of 906, 972, 413 on our page.

3. How to find GCD of 906, 972, 413 on a calculator?

You can find the GCD of 906, 972, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.