GCD of 624, 672, 304, 338 Calculator

Given Input numbers are 624, 672, 304, 338

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 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 624, 672, 304, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 624, 672, 304, 338 is 2.

Therefore, GCD of numbers 624, 672, 304, 338 is 2

Given Input Data is 624, 672, 304, 338

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 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 338 is 2 x 13 x 13

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, 672) = 8736

GCD(624, 672) = ( 624 x 672 ) / 8736

GCD(624, 672) = 419328 / 8736

GCD(624, 672) = 48

Step2:

Here we consider the GCD from the above i.e. 48 as first number and the next as 304

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

LCM(48, 304) = 912

GCD(48, 304) = ( 48 x 304 ) / 912

GCD(48, 304) = 14592 / 912

GCD(48, 304) = 16

Step3:

Here we consider the GCD from the above i.e. 16 as first number and the next as 338

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

LCM(16, 338) = 2704

GCD(16, 338) = ( 16 x 338 ) / 2704

GCD(16, 338) = 5408 / 2704

GCD(16, 338) = 2

GCD of 624, 672, 304, 338 is 2

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• GCD of 384, 683, 972, 126
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1. What is the GCD of 624, 672, 304, 338?

GCD of 624, 672, 304, 338 is 2

2. Where do I get the detailed procedure to find GCD of 624, 672, 304, 338?

You can find a detailed procedure to find GCD of 624, 672, 304, 338 on our page.

3. How to find GCD of 624, 672, 304, 338 on a calculator?

You can find the GCD of 624, 672, 304, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.