GCD of 422, 906, 786, 470 Calculator

Given Input numbers are 422, 906, 786, 470

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

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

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 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 422, 906, 786, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 422, 906, 786, 470 is 2.

Therefore, GCD of numbers 422, 906, 786, 470 is 2

Given Input Data is 422, 906, 786, 470

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

Prime Factorization of 422 is 2 x 211

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 470 is 2 x 5 x 47

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(422, 906) = 191166

GCD(422, 906) = ( 422 x 906 ) / 191166

GCD(422, 906) = 382332 / 191166

GCD(422, 906) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 786

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

LCM(2, 786) = 786

GCD(2, 786) = ( 2 x 786 ) / 786

GCD(2, 786) = 1572 / 786

GCD(2, 786) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 422, 906, 786, 470 is 2

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1. What is the GCD of 422, 906, 786, 470?

GCD of 422, 906, 786, 470 is 2

2. Where do I get the detailed procedure to find GCD of 422, 906, 786, 470?

You can find a detailed procedure to find GCD of 422, 906, 786, 470 on our page.

3. How to find GCD of 422, 906, 786, 470 on a calculator?

You can find the GCD of 422, 906, 786, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.