GCD of 344, 504, 38, 642 Calculator

Given Input numbers are 344, 504, 38, 642

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

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 344, 504, 38, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 504, 38, 642 is 2.

Therefore, GCD of numbers 344, 504, 38, 642 is 2

Given Input Data is 344, 504, 38, 642

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

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 642 is 2 x 3 x 107

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(344, 504) = 21672

GCD(344, 504) = ( 344 x 504 ) / 21672

GCD(344, 504) = 173376 / 21672

GCD(344, 504) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 38

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

LCM(8, 38) = 152

GCD(8, 38) = ( 8 x 38 ) / 152

GCD(8, 38) = 304 / 152

GCD(8, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

GCD of 344, 504, 38, 642 is 2

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1. What is the GCD of 344, 504, 38, 642?

GCD of 344, 504, 38, 642 is 2

2. Where do I get the detailed procedure to find GCD of 344, 504, 38, 642?

You can find a detailed procedure to find GCD of 344, 504, 38, 642 on our page.

3. How to find GCD of 344, 504, 38, 642 on a calculator?

You can find the GCD of 344, 504, 38, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.