GCD of 936, 590, 708, 638 Calculator

Given Input numbers are 936, 590, 708, 638

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

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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 936, 590, 708, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 590, 708, 638 is 2.

Therefore, GCD of numbers 936, 590, 708, 638 is 2

Given Input Data is 936, 590, 708, 638

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 708 is 2 x 2 x 3 x 59

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(936, 590) = 276120

GCD(936, 590) = ( 936 x 590 ) / 276120

GCD(936, 590) = 552240 / 276120

GCD(936, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 708

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

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

GCD(2, 708) = 1416 / 708

GCD(2, 708) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

GCD of 936, 590, 708, 638 is 2

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1. What is the GCD of 936, 590, 708, 638?

GCD of 936, 590, 708, 638 is 2

2. Where do I get the detailed procedure to find GCD of 936, 590, 708, 638?

You can find a detailed procedure to find GCD of 936, 590, 708, 638 on our page.

3. How to find GCD of 936, 590, 708, 638 on a calculator?

You can find the GCD of 936, 590, 708, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.