GCD of 624, 206, 600 Calculator

Given Input numbers are 624, 206, 600

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

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

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 624, 206, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 206, 600 is 2.

Therefore, GCD of numbers 624, 206, 600 is 2

Given Input Data is 624, 206, 600

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

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 206 is 2 x 103

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

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(624, 206) = 64272

GCD(624, 206) = ( 624 x 206 ) / 64272

GCD(624, 206) = 128544 / 64272

GCD(624, 206) = 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

GCD of 624, 206, 600 is 2

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1. What is the GCD of 624, 206, 600?

GCD of 624, 206, 600 is 2

2. Where do I get the detailed procedure to find GCD of 624, 206, 600?

You can find a detailed procedure to find GCD of 624, 206, 600 on our page.

3. How to find GCD of 624, 206, 600 on a calculator?

You can find the GCD of 624, 206, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.