GCD of 574, 396, 940 Calculator

Given Input numbers are 574, 396, 940

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Greatest Common Divisior

We found the divisors of 574, 396, 940 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 396, 940 is 2.

Therefore, GCD of numbers 574, 396, 940 is 2

Given Input Data is 574, 396, 940

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 940 is 2 x 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(574, 396) = 113652

GCD(574, 396) = ( 574 x 396 ) / 113652

GCD(574, 396) = 227304 / 113652

GCD(574, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 940

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

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

GCD(2, 940) = 1880 / 940

GCD(2, 940) = 2

GCD of 574, 396, 940 is 2

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1. What is the GCD of 574, 396, 940?

GCD of 574, 396, 940 is 2

2. Where do I get the detailed procedure to find GCD of 574, 396, 940?

You can find a detailed procedure to find GCD of 574, 396, 940 on our page.

3. How to find GCD of 574, 396, 940 on a calculator?

You can find the GCD of 574, 396, 940 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.