GCD of 910, 884, 876, 398 Calculator

Given Input numbers are 910, 884, 876, 398

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 910, 884, 876, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 884, 876, 398 is 2.

Therefore, GCD of numbers 910, 884, 876, 398 is 2

Given Input Data is 910, 884, 876, 398

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 884 is 2 x 2 x 13 x 17

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 398 is 2 x 199

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(910, 884) = 30940

GCD(910, 884) = ( 910 x 884 ) / 30940

GCD(910, 884) = 804440 / 30940

GCD(910, 884) = 26

Step2:

Here we consider the GCD from the above i.e. 26 as first number and the next as 876

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

LCM(26, 876) = 11388

GCD(26, 876) = ( 26 x 876 ) / 11388

GCD(26, 876) = 22776 / 11388

GCD(26, 876) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

GCD of 910, 884, 876, 398 is 2

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1. What is the GCD of 910, 884, 876, 398?

GCD of 910, 884, 876, 398 is 2

2. Where do I get the detailed procedure to find GCD of 910, 884, 876, 398?

You can find a detailed procedure to find GCD of 910, 884, 876, 398 on our page.

3. How to find GCD of 910, 884, 876, 398 on a calculator?

You can find the GCD of 910, 884, 876, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.