GCD of 906, 148, 317, 612 Calculator

Given Input numbers are 906, 148, 317, 612

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 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Greatest Common Divisior

We found the divisors of 906, 148, 317, 612 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 148, 317, 612 is 1.

Therefore, GCD of numbers 906, 148, 317, 612 is 1

Given Input Data is 906, 148, 317, 612

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 148 is 2 x 2 x 37

Prime Factorization of 317 is 317

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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, 148) = 67044

GCD(906, 148) = ( 906 x 148 ) / 67044

GCD(906, 148) = 134088 / 67044

GCD(906, 148) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 317

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

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

GCD(2, 317) = 634 / 634

GCD(2, 317) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

GCD of 906, 148, 317, 612 is 1

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1. What is the GCD of 906, 148, 317, 612?

GCD of 906, 148, 317, 612 is 1

2. Where do I get the detailed procedure to find GCD of 906, 148, 317, 612?

You can find a detailed procedure to find GCD of 906, 148, 317, 612 on our page.

3. How to find GCD of 906, 148, 317, 612 on a calculator?

You can find the GCD of 906, 148, 317, 612 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.