GCD of 790, 496, 26, 936 Calculator

Given Input numbers are 790, 496, 26, 936

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

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

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

Greatest Common Divisior

We found the divisors of 790, 496, 26, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 790, 496, 26, 936 is 2.

Therefore, GCD of numbers 790, 496, 26, 936 is 2

Given Input Data is 790, 496, 26, 936

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

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

Prime Factorization of 26 is 2 x 13

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 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(790, 496) = 195920

GCD(790, 496) = ( 790 x 496 ) / 195920

GCD(790, 496) = 391840 / 195920

GCD(790, 496) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

GCD of 790, 496, 26, 936 is 2

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1. What is the GCD of 790, 496, 26, 936?

GCD of 790, 496, 26, 936 is 2

2. Where do I get the detailed procedure to find GCD of 790, 496, 26, 936?

You can find a detailed procedure to find GCD of 790, 496, 26, 936 on our page.

3. How to find GCD of 790, 496, 26, 936 on a calculator?

You can find the GCD of 790, 496, 26, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.