GCD of 75, 15, 27 Calculator

Given Input numbers are 75, 15, 27

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

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Greatest Common Divisior

We found the divisors of 75, 15, 27 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 15, 27 is 3.

Therefore, GCD of numbers 75, 15, 27 is 3

Given Input Data is 75, 15, 27

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 15 is 3 x 5

Prime Factorization of 27 is 3 x 3 x 3

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(75, 15) = 75

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

GCD(75, 15) = 1125 / 75

GCD(75, 15) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 27

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

LCM(15, 27) = 135

GCD(15, 27) = ( 15 x 27 ) / 135

GCD(15, 27) = 405 / 135

GCD(15, 27) = 3

GCD of 75, 15, 27 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 14, 38
• GCD of 60, 65, 41
• GCD of 94, 24, 98
• GCD of 29, 39, 20
• GCD of 92, 68, 43

1. What is the GCD of 75, 15, 27?

GCD of 75, 15, 27 is 3

2. Where do I get the detailed procedure to find GCD of 75, 15, 27?

You can find a detailed procedure to find GCD of 75, 15, 27 on our page.

3. How to find GCD of 75, 15, 27 on a calculator?

You can find the GCD of 75, 15, 27 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.