GCD of 824, 900, 18, 943 Calculator

Given Input numbers are 824, 900, 18, 943

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 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 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 943

List of positive integer divisors of 943 that divides 943 without a remainder.

1, 23, 41, 943

Greatest Common Divisior

We found the divisors of 824, 900, 18, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 824, 900, 18, 943 is 1.

Therefore, GCD of numbers 824, 900, 18, 943 is 1

Given Input Data is 824, 900, 18, 943

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 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 943 is 23 x 41

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(824, 900) = 185400

GCD(824, 900) = ( 824 x 900 ) / 185400

GCD(824, 900) = 741600 / 185400

GCD(824, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 18

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

LCM(4, 18) = 36

GCD(4, 18) = ( 4 x 18 ) / 36

GCD(4, 18) = 72 / 36

GCD(4, 18) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 943

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

LCM(2, 943) = 1886

GCD(2, 943) = ( 2 x 943 ) / 1886

GCD(2, 943) = 1886 / 1886

GCD(2, 943) = 1

GCD of 824, 900, 18, 943 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 641, 712, 64, 397
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• GCD of 432, 469, 67, 371
• GCD of 877, 812, 49, 456
• GCD of 383, 767, 53, 494

1. What is the GCD of 824, 900, 18, 943?

GCD of 824, 900, 18, 943 is 1

2. Where do I get the detailed procedure to find GCD of 824, 900, 18, 943?

You can find a detailed procedure to find GCD of 824, 900, 18, 943 on our page.

3. How to find GCD of 824, 900, 18, 943 on a calculator?

You can find the GCD of 824, 900, 18, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.