GCD of 338, 374, 516, 304 Calculator

Given Input numbers are 338, 374, 516, 304

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

Divisors of 338

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

1, 2, 13, 26, 169, 338

Divisors of 374

List of positive integer divisors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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

Greatest Common Divisior

We found the divisors of 338, 374, 516, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 338, 374, 516, 304 is 2.

Therefore, GCD of numbers 338, 374, 516, 304 is 2

Given Input Data is 338, 374, 516, 304

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

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 374 is 2 x 11 x 17

Prime Factorization of 516 is 2 x 2 x 3 x 43

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

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(338, 374) = 63206

GCD(338, 374) = ( 338 x 374 ) / 63206

GCD(338, 374) = 126412 / 63206

GCD(338, 374) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 516

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

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

GCD(2, 516) = 1032 / 516

GCD(2, 516) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 304

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

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

GCD(2, 304) = 608 / 304

GCD(2, 304) = 2

GCD of 338, 374, 516, 304 is 2

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• GCD of 714, 312, 133, 735
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1. What is the GCD of 338, 374, 516, 304?

GCD of 338, 374, 516, 304 is 2

2. Where do I get the detailed procedure to find GCD of 338, 374, 516, 304?

You can find a detailed procedure to find GCD of 338, 374, 516, 304 on our page.

3. How to find GCD of 338, 374, 516, 304 on a calculator?

You can find the GCD of 338, 374, 516, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.