GCD of 10, 75, 20 Calculator

Given Input numbers are 10, 75, 20

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 75

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

1, 3, 5, 15, 25, 75

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Greatest Common Divisior

We found the divisors of 10, 75, 20 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 75, 20 is 5.

Therefore, GCD of numbers 10, 75, 20 is 5

Given Input Data is 10, 75, 20

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 20 is 2 x 2 x 5

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(10, 75) = 150

GCD(10, 75) = ( 10 x 75 ) / 150

GCD(10, 75) = 750 / 150

GCD(10, 75) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 5

GCD of 10, 75, 20 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 69, 52, 56
• GCD of 55, 88, 14
• GCD of 29, 20, 75
• GCD of 78, 22, 26
• GCD of 52, 72, 73

1. What is the GCD of 10, 75, 20?

GCD of 10, 75, 20 is 5

2. Where do I get the detailed procedure to find GCD of 10, 75, 20?

You can find a detailed procedure to find GCD of 10, 75, 20 on our page.

3. How to find GCD of 10, 75, 20 on a calculator?

You can find the GCD of 10, 75, 20 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.