GCD of 748, 488, 936 Calculator

Given Input numbers are 748, 488, 936

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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 748, 488, 936 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 488, 936 is 4.

Therefore, GCD of numbers 748, 488, 936 is 4

Given Input Data is 748, 488, 936

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(748, 488) = 91256

GCD(748, 488) = ( 748 x 488 ) / 91256

GCD(748, 488) = 365024 / 91256

GCD(748, 488) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 936

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

LCM(4, 936) = 936

GCD(4, 936) = ( 4 x 936 ) / 936

GCD(4, 936) = 3744 / 936

GCD(4, 936) = 4

GCD of 748, 488, 936 is 4

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1. What is the GCD of 748, 488, 936?

GCD of 748, 488, 936 is 4

2. Where do I get the detailed procedure to find GCD of 748, 488, 936?

You can find a detailed procedure to find GCD of 748, 488, 936 on our page.

3. How to find GCD of 748, 488, 936 on a calculator?

You can find the GCD of 748, 488, 936 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.