GCD of 364, 274, 572 Calculator

Given Input numbers are 364, 274, 572

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Greatest Common Divisior

We found the divisors of 364, 274, 572 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 274, 572 is 2.

Therefore, GCD of numbers 364, 274, 572 is 2

Given Input Data is 364, 274, 572

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 274 is 2 x 137

Prime Factorization of 572 is 2 x 2 x 11 x 13

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(364, 274) = 49868

GCD(364, 274) = ( 364 x 274 ) / 49868

GCD(364, 274) = 99736 / 49868

GCD(364, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 572

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

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

GCD(2, 572) = 1144 / 572

GCD(2, 572) = 2

GCD of 364, 274, 572 is 2

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1. What is the GCD of 364, 274, 572?

GCD of 364, 274, 572 is 2

2. Where do I get the detailed procedure to find GCD of 364, 274, 572?

You can find a detailed procedure to find GCD of 364, 274, 572 on our page.

3. How to find GCD of 364, 274, 572 on a calculator?

You can find the GCD of 364, 274, 572 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.