GCD of 624, 200, 138 Calculator

Given Input numbers are 624, 200, 138

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 624, 200, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 200, 138 is 2.

Therefore, GCD of numbers 624, 200, 138 is 2

Given Input Data is 624, 200, 138

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 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 138 is 2 x 3 x 23

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, 200) = 15600

GCD(624, 200) = ( 624 x 200 ) / 15600

GCD(624, 200) = 124800 / 15600

GCD(624, 200) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 138

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

LCM(8, 138) = 552

GCD(8, 138) = ( 8 x 138 ) / 552

GCD(8, 138) = 1104 / 552

GCD(8, 138) = 2

GCD of 624, 200, 138 is 2

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1. What is the GCD of 624, 200, 138?

GCD of 624, 200, 138 is 2

2. Where do I get the detailed procedure to find GCD of 624, 200, 138?

You can find a detailed procedure to find GCD of 624, 200, 138 on our page.

3. How to find GCD of 624, 200, 138 on a calculator?

You can find the GCD of 624, 200, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.