GCD of 750, 309, 225 Calculator

Given Input numbers are 750, 309, 225

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 750, 309, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 309, 225 is 3.

Therefore, GCD of numbers 750, 309, 225 is 3

Given Input Data is 750, 309, 225

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 309 is 3 x 103

Prime Factorization of 225 is 3 x 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(750, 309) = 77250

GCD(750, 309) = ( 750 x 309 ) / 77250

GCD(750, 309) = 231750 / 77250

GCD(750, 309) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 225

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

LCM(3, 225) = 225

GCD(3, 225) = ( 3 x 225 ) / 225

GCD(3, 225) = 675 / 225

GCD(3, 225) = 3

GCD of 750, 309, 225 is 3

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• GCD of 902, 436, 815
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1. What is the GCD of 750, 309, 225?

GCD of 750, 309, 225 is 3

2. Where do I get the detailed procedure to find GCD of 750, 309, 225?

You can find a detailed procedure to find GCD of 750, 309, 225 on our page.

3. How to find GCD of 750, 309, 225 on a calculator?

You can find the GCD of 750, 309, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.