GCD of 624, 512, 392, 638 Calculator

Given Input numbers are 624, 512, 392, 638

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 512

List of positive integer divisors of 512 that divides 512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 624, 512, 392, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 512, 392, 638 is 2.

Therefore, GCD of numbers 624, 512, 392, 638 is 2

Given Input Data is 624, 512, 392, 638

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 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 638 is 2 x 11 x 29

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, 512) = 19968

GCD(624, 512) = ( 624 x 512 ) / 19968

GCD(624, 512) = 319488 / 19968

GCD(624, 512) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 392

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

LCM(16, 392) = 784

GCD(16, 392) = ( 16 x 392 ) / 784

GCD(16, 392) = 6272 / 784

GCD(16, 392) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 638

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

LCM(8, 638) = 2552

GCD(8, 638) = ( 8 x 638 ) / 2552

GCD(8, 638) = 5104 / 2552

GCD(8, 638) = 2

GCD of 624, 512, 392, 638 is 2

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1. What is the GCD of 624, 512, 392, 638?

GCD of 624, 512, 392, 638 is 2

2. Where do I get the detailed procedure to find GCD of 624, 512, 392, 638?

You can find a detailed procedure to find GCD of 624, 512, 392, 638 on our page.

3. How to find GCD of 624, 512, 392, 638 on a calculator?

You can find the GCD of 624, 512, 392, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.