GCD of 212, 594, 600, 274 Calculator

Given Input numbers are 212, 594, 600, 274

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 274

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

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 212, 594, 600, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 594, 600, 274 is 2.

Therefore, GCD of numbers 212, 594, 600, 274 is 2

Given Input Data is 212, 594, 600, 274

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 274 is 2 x 137

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(212, 594) = 62964

GCD(212, 594) = ( 212 x 594 ) / 62964

GCD(212, 594) = 125928 / 62964

GCD(212, 594) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

GCD of 212, 594, 600, 274 is 2

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1. What is the GCD of 212, 594, 600, 274?

GCD of 212, 594, 600, 274 is 2

2. Where do I get the detailed procedure to find GCD of 212, 594, 600, 274?

You can find a detailed procedure to find GCD of 212, 594, 600, 274 on our page.

3. How to find GCD of 212, 594, 600, 274 on a calculator?

You can find the GCD of 212, 594, 600, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.