GCD of 824, 618, 900 Calculator

Given Input numbers are 824, 618, 900

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

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

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 824, 618, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 618, 900 is 2.

Therefore, GCD of numbers 824, 618, 900 is 2

Given Input Data is 824, 618, 900

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

Prime Factorization of 824 is 2 x 2 x 2 x 103

Prime Factorization of 618 is 2 x 3 x 103

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(824, 618) = 2472

GCD(824, 618) = ( 824 x 618 ) / 2472

GCD(824, 618) = 509232 / 2472

GCD(824, 618) = 206

Step2:

Here we consider the GCD from the above i.e. 206 as first number and the next as 900

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

LCM(206, 900) = 92700

GCD(206, 900) = ( 206 x 900 ) / 92700

GCD(206, 900) = 185400 / 92700

GCD(206, 900) = 2

GCD of 824, 618, 900 is 2

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1. What is the GCD of 824, 618, 900?

GCD of 824, 618, 900 is 2

2. Where do I get the detailed procedure to find GCD of 824, 618, 900?

You can find a detailed procedure to find GCD of 824, 618, 900 on our page.

3. How to find GCD of 824, 618, 900 on a calculator?

You can find the GCD of 824, 618, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.