GCD of 300, 137, 40 Calculator

Given Input numbers are 300, 137, 40

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Greatest Common Divisior

We found the divisors of 300, 137, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 137, 40 is 1.

Therefore, GCD of numbers 300, 137, 40 is 1

Given Input Data is 300, 137, 40

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 137 is 137

Prime Factorization of 40 is 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

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, 137) = 41100

GCD(300, 137) = ( 300 x 137 ) / 41100

GCD(300, 137) = 41100 / 41100

GCD(300, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

GCD of 300, 137, 40 is 1

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1. What is the GCD of 300, 137, 40?

GCD of 300, 137, 40 is 1

2. Where do I get the detailed procedure to find GCD of 300, 137, 40?

You can find a detailed procedure to find GCD of 300, 137, 40 on our page.

3. How to find GCD of 300, 137, 40 on a calculator?

You can find the GCD of 300, 137, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.