GCD of 594, 460, 370 Calculator

Given Input numbers are 594, 460, 370

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

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 594, 460, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 460, 370 is 2.

Therefore, GCD of numbers 594, 460, 370 is 2

Given Input Data is 594, 460, 370

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

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 370 is 2 x 5 x 37

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(594, 460) = 136620

GCD(594, 460) = ( 594 x 460 ) / 136620

GCD(594, 460) = 273240 / 136620

GCD(594, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 370

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

LCM(2, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

GCD(2, 370) = 740 / 370

GCD(2, 370) = 2

GCD of 594, 460, 370 is 2

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1. What is the GCD of 594, 460, 370?

GCD of 594, 460, 370 is 2

2. Where do I get the detailed procedure to find GCD of 594, 460, 370?

You can find a detailed procedure to find GCD of 594, 460, 370 on our page.

3. How to find GCD of 594, 460, 370 on a calculator?

You can find the GCD of 594, 460, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.