GCD of 536, 684, 590, 304 Calculator

Given Input numbers are 536, 684, 590, 304

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

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 536, 684, 590, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 536, 684, 590, 304 is 2.

Therefore, GCD of numbers 536, 684, 590, 304 is 2

Given Input Data is 536, 684, 590, 304

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

Prime Factorization of 536 is 2 x 2 x 2 x 67

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 590 is 2 x 5 x 59

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(536, 684) = 91656

GCD(536, 684) = ( 536 x 684 ) / 91656

GCD(536, 684) = 366624 / 91656

GCD(536, 684) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 590

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

LCM(4, 590) = 1180

GCD(4, 590) = ( 4 x 590 ) / 1180

GCD(4, 590) = 2360 / 1180

GCD(4, 590) = 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 536, 684, 590, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 940, 845, 574, 269
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• GCD of 497, 168, 323, 806

1. What is the GCD of 536, 684, 590, 304?

GCD of 536, 684, 590, 304 is 2

2. Where do I get the detailed procedure to find GCD of 536, 684, 590, 304?

You can find a detailed procedure to find GCD of 536, 684, 590, 304 on our page.

3. How to find GCD of 536, 684, 590, 304 on a calculator?

You can find the GCD of 536, 684, 590, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.