GCD of 874, 908, 756, 638 Calculator

Given Input numbers are 874, 908, 756, 638

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 874, 908, 756, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 908, 756, 638 is 2.

Therefore, GCD of numbers 874, 908, 756, 638 is 2

Given Input Data is 874, 908, 756, 638

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

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(874, 908) = 396796

GCD(874, 908) = ( 874 x 908 ) / 396796

GCD(874, 908) = 793592 / 396796

GCD(874, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 756

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

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

GCD(2, 756) = 1512 / 756

GCD(2, 756) = 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 874, 908, 756, 638 is 2

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1. What is the GCD of 874, 908, 756, 638?

GCD of 874, 908, 756, 638 is 2

2. Where do I get the detailed procedure to find GCD of 874, 908, 756, 638?

You can find a detailed procedure to find GCD of 874, 908, 756, 638 on our page.

3. How to find GCD of 874, 908, 756, 638 on a calculator?

You can find the GCD of 874, 908, 756, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.