GCD of 390, 405, 75 Calculator

Given Input numbers are 390, 405, 75

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 75

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

1, 3, 5, 15, 25, 75

Greatest Common Divisior

We found the divisors of 390, 405, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 405, 75 is 15.

Therefore, GCD of numbers 390, 405, 75 is 15

Given Input Data is 390, 405, 75

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 75 is 3 x 5 x 5

Highest common occurrences in the given inputs are 3¹ x 5¹

Multiplying them we get the GCD as 15

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(390, 405) = 10530

GCD(390, 405) = ( 390 x 405 ) / 10530

GCD(390, 405) = 157950 / 10530

GCD(390, 405) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 75

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

LCM(15, 75) = 75

GCD(15, 75) = ( 15 x 75 ) / 75

GCD(15, 75) = 1125 / 75

GCD(15, 75) = 15

GCD of 390, 405, 75 is 15

Here are some samples of GCD of Numbers calculations.

• GCD of 970, 447, 20
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• GCD of 496, 586, 49
• GCD of 682, 158, 59
• GCD of 726, 899, 22

1. What is the GCD of 390, 405, 75?

GCD of 390, 405, 75 is 15

2. Where do I get the detailed procedure to find GCD of 390, 405, 75?

You can find a detailed procedure to find GCD of 390, 405, 75 on our page.

3. How to find GCD of 390, 405, 75 on a calculator?

You can find the GCD of 390, 405, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.