GCD of 313, 370, 906 Calculator

Given Input numbers are 313, 370, 906

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

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 313, 370, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 370, 906 is 1.

Therefore, GCD of numbers 313, 370, 906 is 1

Given Input Data is 313, 370, 906

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

Prime Factorization of 313 is 313

Prime Factorization of 370 is 2 x 5 x 37

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(313, 370) = 115810

GCD(313, 370) = ( 313 x 370 ) / 115810

GCD(313, 370) = 115810 / 115810

GCD(313, 370) = 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 313, 370, 906 is 1

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1. What is the GCD of 313, 370, 906?

GCD of 313, 370, 906 is 1

2. Where do I get the detailed procedure to find GCD of 313, 370, 906?

You can find a detailed procedure to find GCD of 313, 370, 906 on our page.

3. How to find GCD of 313, 370, 906 on a calculator?

You can find the GCD of 313, 370, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.