GCD of 900, 864, 54, 998 Calculator

Given Input numbers are 900, 864, 54, 998

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

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 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 900, 864, 54, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 864, 54, 998 is 2.

Therefore, GCD of numbers 900, 864, 54, 998 is 2

Given Input Data is 900, 864, 54, 998

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

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 998 is 2 x 499

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(900, 864) = 21600

GCD(900, 864) = ( 900 x 864 ) / 21600

GCD(900, 864) = 777600 / 21600

GCD(900, 864) = 36

Step2:

Here we consider the GCD from the above i.e. 36 as first number and the next as 54

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

LCM(36, 54) = 108

GCD(36, 54) = ( 36 x 54 ) / 108

GCD(36, 54) = 1944 / 108

GCD(36, 54) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 998

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

LCM(18, 998) = 8982

GCD(18, 998) = ( 18 x 998 ) / 8982

GCD(18, 998) = 17964 / 8982

GCD(18, 998) = 2

GCD of 900, 864, 54, 998 is 2

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1. What is the GCD of 900, 864, 54, 998?

GCD of 900, 864, 54, 998 is 2

2. Where do I get the detailed procedure to find GCD of 900, 864, 54, 998?

You can find a detailed procedure to find GCD of 900, 864, 54, 998 on our page.

3. How to find GCD of 900, 864, 54, 998 on a calculator?

You can find the GCD of 900, 864, 54, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.