GCD of 398, 961, 906 Calculator

Given Input numbers are 398, 961, 906

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

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

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 398, 961, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 961, 906 is 1.

Therefore, GCD of numbers 398, 961, 906 is 1

Given Input Data is 398, 961, 906

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 961 is 31 x 31

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(398, 961) = 382478

GCD(398, 961) = ( 398 x 961 ) / 382478

GCD(398, 961) = 382478 / 382478

GCD(398, 961) = 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 398, 961, 906 is 1

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1. What is the GCD of 398, 961, 906?

GCD of 398, 961, 906 is 1

2. Where do I get the detailed procedure to find GCD of 398, 961, 906?

You can find a detailed procedure to find GCD of 398, 961, 906 on our page.

3. How to find GCD of 398, 961, 906 on a calculator?

You can find the GCD of 398, 961, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.