GCD of 748, 646, 76, 808 Calculator

Given Input numbers are 748, 646, 76, 808

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 748, 646, 76, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 646, 76, 808 is 2.

Therefore, GCD of numbers 748, 646, 76, 808 is 2

Given Input Data is 748, 646, 76, 808

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 646 is 2 x 17 x 19

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(748, 646) = 14212

GCD(748, 646) = ( 748 x 646 ) / 14212

GCD(748, 646) = 483208 / 14212

GCD(748, 646) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 76

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

LCM(34, 76) = 1292

GCD(34, 76) = ( 34 x 76 ) / 1292

GCD(34, 76) = 2584 / 1292

GCD(34, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 808

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

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

GCD(2, 808) = 1616 / 808

GCD(2, 808) = 2

GCD of 748, 646, 76, 808 is 2

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1. What is the GCD of 748, 646, 76, 808?

GCD of 748, 646, 76, 808 is 2

2. Where do I get the detailed procedure to find GCD of 748, 646, 76, 808?

You can find a detailed procedure to find GCD of 748, 646, 76, 808 on our page.

3. How to find GCD of 748, 646, 76, 808 on a calculator?

You can find the GCD of 748, 646, 76, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.