GCD of 312, 348, 600 Calculator

Given Input numbers are 312, 348, 600

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

Greatest Common Divisior

We found the divisors of 312, 348, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 348, 600 is 12.

Therefore, GCD of numbers 312, 348, 600 is 12

Given Input Data is 312, 348, 600

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 348 is 2 x 2 x 3 x 29

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

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(312, 348) = 9048

GCD(312, 348) = ( 312 x 348 ) / 9048

GCD(312, 348) = 108576 / 9048

GCD(312, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 600

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

LCM(12, 600) = 600

GCD(12, 600) = ( 12 x 600 ) / 600

GCD(12, 600) = 7200 / 600

GCD(12, 600) = 12

GCD of 312, 348, 600 is 12

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1. What is the GCD of 312, 348, 600?

GCD of 312, 348, 600 is 12

2. Where do I get the detailed procedure to find GCD of 312, 348, 600?

You can find a detailed procedure to find GCD of 312, 348, 600 on our page.

3. How to find GCD of 312, 348, 600 on a calculator?

You can find the GCD of 312, 348, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.