GCD of 828, 936, 590, 982 Calculator

Given Input numbers are 828, 936, 590, 982

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 828, 936, 590, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 936, 590, 982 is 2.

Therefore, GCD of numbers 828, 936, 590, 982 is 2

Given Input Data is 828, 936, 590, 982

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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 982 is 2 x 491

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(828, 936) = 21528

GCD(828, 936) = ( 828 x 936 ) / 21528

GCD(828, 936) = 775008 / 21528

GCD(828, 936) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 590

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

LCM(36, 590) = 10620

GCD(36, 590) = ( 36 x 590 ) / 10620

GCD(36, 590) = 21240 / 10620

GCD(36, 590) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 982

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

LCM(2, 982) = 982

GCD(2, 982) = ( 2 x 982 ) / 982

GCD(2, 982) = 1964 / 982

GCD(2, 982) = 2

GCD of 828, 936, 590, 982 is 2

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1. What is the GCD of 828, 936, 590, 982?

GCD of 828, 936, 590, 982 is 2

2. Where do I get the detailed procedure to find GCD of 828, 936, 590, 982?

You can find a detailed procedure to find GCD of 828, 936, 590, 982 on our page.

3. How to find GCD of 828, 936, 590, 982 on a calculator?

You can find the GCD of 828, 936, 590, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.