GCD of 900, 365, 75, 920 Calculator

Given Input numbers are 900, 365, 75, 920

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 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 900, 365, 75, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 365, 75, 920 is 5.

Therefore, GCD of numbers 900, 365, 75, 920 is 5

Given Input Data is 900, 365, 75, 920

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 365 is 5 x 73

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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, 365) = 65700

GCD(900, 365) = ( 900 x 365 ) / 65700

GCD(900, 365) = 328500 / 65700

GCD(900, 365) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 75

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

LCM(5, 75) = 75

GCD(5, 75) = ( 5 x 75 ) / 75

GCD(5, 75) = 375 / 75

GCD(5, 75) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 920

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

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

GCD(5, 920) = 4600 / 920

GCD(5, 920) = 5

GCD of 900, 365, 75, 920 is 5

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1. What is the GCD of 900, 365, 75, 920?

GCD of 900, 365, 75, 920 is 5

2. Where do I get the detailed procedure to find GCD of 900, 365, 75, 920?

You can find a detailed procedure to find GCD of 900, 365, 75, 920 on our page.

3. How to find GCD of 900, 365, 75, 920 on a calculator?

You can find the GCD of 900, 365, 75, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.