GCD of 900, 204, 74, 730 Calculator

Given Input numbers are 900, 204, 74, 730

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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 900, 204, 74, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 204, 74, 730 is 2.

Therefore, GCD of numbers 900, 204, 74, 730 is 2

Given Input Data is 900, 204, 74, 730

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 204 is 2 x 2 x 3 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 730 is 2 x 5 x 73

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, 204) = 15300

GCD(900, 204) = ( 900 x 204 ) / 15300

GCD(900, 204) = 183600 / 15300

GCD(900, 204) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 74

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

LCM(12, 74) = 444

GCD(12, 74) = ( 12 x 74 ) / 444

GCD(12, 74) = 888 / 444

GCD(12, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 900, 204, 74, 730 is 2

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• GCD of 562, 151, 21, 285
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• GCD of 224, 434, 15, 739

1. What is the GCD of 900, 204, 74, 730?

GCD of 900, 204, 74, 730 is 2

2. Where do I get the detailed procedure to find GCD of 900, 204, 74, 730?

You can find a detailed procedure to find GCD of 900, 204, 74, 730 on our page.

3. How to find GCD of 900, 204, 74, 730 on a calculator?

You can find the GCD of 900, 204, 74, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.