GCD of 470, 774, 38, 934 Calculator

Given Input numbers are 470, 774, 38, 934

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

Divisors of 470

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

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

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Greatest Common Divisior

We found the divisors of 470, 774, 38, 934 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 774, 38, 934 is 2.

Therefore, GCD of numbers 470, 774, 38, 934 is 2

Given Input Data is 470, 774, 38, 934

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 38 is 2 x 19

Prime Factorization of 934 is 2 x 467

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(470, 774) = 181890

GCD(470, 774) = ( 470 x 774 ) / 181890

GCD(470, 774) = 363780 / 181890

GCD(470, 774) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 934

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

LCM(2, 934) = 934

GCD(2, 934) = ( 2 x 934 ) / 934

GCD(2, 934) = 1868 / 934

GCD(2, 934) = 2

GCD of 470, 774, 38, 934 is 2

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1. What is the GCD of 470, 774, 38, 934?

GCD of 470, 774, 38, 934 is 2

2. Where do I get the detailed procedure to find GCD of 470, 774, 38, 934?

You can find a detailed procedure to find GCD of 470, 774, 38, 934 on our page.

3. How to find GCD of 470, 774, 38, 934 on a calculator?

You can find the GCD of 470, 774, 38, 934 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.