GCD of 898, 884, 26, 633 Calculator

Given Input numbers are 898, 884, 26, 633

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

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

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 26

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

1, 2, 13, 26

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Greatest Common Divisior

We found the divisors of 898, 884, 26, 633 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 884, 26, 633 is 1.

Therefore, GCD of numbers 898, 884, 26, 633 is 1

Given Input Data is 898, 884, 26, 633

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

Prime Factorization of 898 is 2 x 449

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 633 is 3 x 211

The above numbers do not have any common prime factor. So GCD is 1

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(898, 884) = 396916

GCD(898, 884) = ( 898 x 884 ) / 396916

GCD(898, 884) = 793832 / 396916

GCD(898, 884) = 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 633

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

LCM(2, 633) = 1266

GCD(2, 633) = ( 2 x 633 ) / 1266

GCD(2, 633) = 1266 / 1266

GCD(2, 633) = 1

GCD of 898, 884, 26, 633 is 1

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1. What is the GCD of 898, 884, 26, 633?

GCD of 898, 884, 26, 633 is 1

2. Where do I get the detailed procedure to find GCD of 898, 884, 26, 633?

You can find a detailed procedure to find GCD of 898, 884, 26, 633 on our page.

3. How to find GCD of 898, 884, 26, 633 on a calculator?

You can find the GCD of 898, 884, 26, 633 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.