GCD of 300, 235, 440 Calculator

Given Input numbers are 300, 235, 440

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 300, 235, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 235, 440 is 5.

Therefore, GCD of numbers 300, 235, 440 is 5

Given Input Data is 300, 235, 440

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 235 is 5 x 47

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(300, 235) = 14100

GCD(300, 235) = ( 300 x 235 ) / 14100

GCD(300, 235) = 70500 / 14100

GCD(300, 235) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 440

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

LCM(5, 440) = 440

GCD(5, 440) = ( 5 x 440 ) / 440

GCD(5, 440) = 2200 / 440

GCD(5, 440) = 5

GCD of 300, 235, 440 is 5

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1. What is the GCD of 300, 235, 440?

GCD of 300, 235, 440 is 5

2. Where do I get the detailed procedure to find GCD of 300, 235, 440?

You can find a detailed procedure to find GCD of 300, 235, 440 on our page.

3. How to find GCD of 300, 235, 440 on a calculator?

You can find the GCD of 300, 235, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.