GCD of 898, 266, 636, 900 Calculator

Given Input numbers are 898, 266, 636, 900

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 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 898, 266, 636, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 266, 636, 900 is 2.

Therefore, GCD of numbers 898, 266, 636, 900 is 2

Given Input Data is 898, 266, 636, 900

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(898, 266) = 119434

GCD(898, 266) = ( 898 x 266 ) / 119434

GCD(898, 266) = 238868 / 119434

GCD(898, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 636

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

LCM(2, 636) = 636

GCD(2, 636) = ( 2 x 636 ) / 636

GCD(2, 636) = 1272 / 636

GCD(2, 636) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 900

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

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

GCD(2, 900) = 1800 / 900

GCD(2, 900) = 2

GCD of 898, 266, 636, 900 is 2

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1. What is the GCD of 898, 266, 636, 900?

GCD of 898, 266, 636, 900 is 2

2. Where do I get the detailed procedure to find GCD of 898, 266, 636, 900?

You can find a detailed procedure to find GCD of 898, 266, 636, 900 on our page.

3. How to find GCD of 898, 266, 636, 900 on a calculator?

You can find the GCD of 898, 266, 636, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.