GCD of 900, 774, 216, 992 Calculator

Given Input numbers are 900, 774, 216, 992

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 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 900, 774, 216, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 774, 216, 992 is 2.

Therefore, GCD of numbers 900, 774, 216, 992 is 2

Given Input Data is 900, 774, 216, 992

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 774 is 2 x 3 x 3 x 43

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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, 774) = 38700

GCD(900, 774) = ( 900 x 774 ) / 38700

GCD(900, 774) = 696600 / 38700

GCD(900, 774) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 216

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

LCM(18, 216) = 216

GCD(18, 216) = ( 18 x 216 ) / 216

GCD(18, 216) = 3888 / 216

GCD(18, 216) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 992

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

LCM(18, 992) = 8928

GCD(18, 992) = ( 18 x 992 ) / 8928

GCD(18, 992) = 17856 / 8928

GCD(18, 992) = 2

GCD of 900, 774, 216, 992 is 2

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1. What is the GCD of 900, 774, 216, 992?

GCD of 900, 774, 216, 992 is 2

2. Where do I get the detailed procedure to find GCD of 900, 774, 216, 992?

You can find a detailed procedure to find GCD of 900, 774, 216, 992 on our page.

3. How to find GCD of 900, 774, 216, 992 on a calculator?

You can find the GCD of 900, 774, 216, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.