GCD of 494, 900, 264 Calculator

Given Input numbers are 494, 900, 264

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

Divisors of 494

List of positive integer divisors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 494, 900, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 494, 900, 264 is 2.

Therefore, GCD of numbers 494, 900, 264 is 2

Given Input Data is 494, 900, 264

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

Prime Factorization of 494 is 2 x 13 x 19

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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(494, 900) = 222300

GCD(494, 900) = ( 494 x 900 ) / 222300

GCD(494, 900) = 444600 / 222300

GCD(494, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 264

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

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

GCD(2, 264) = 528 / 264

GCD(2, 264) = 2

GCD of 494, 900, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 682, 587
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• GCD of 235, 605, 110
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1. What is the GCD of 494, 900, 264?

GCD of 494, 900, 264 is 2

2. Where do I get the detailed procedure to find GCD of 494, 900, 264?

You can find a detailed procedure to find GCD of 494, 900, 264 on our page.

3. How to find GCD of 494, 900, 264 on a calculator?

You can find the GCD of 494, 900, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.