GCD of 20, 80, 10, 71 Calculator

Given Input numbers are 20, 80, 10, 71

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

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 10

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

1, 2, 5, 10

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 20, 80, 10, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 80, 10, 71 is 1.

Therefore, GCD of numbers 20, 80, 10, 71 is 1

Given Input Data is 20, 80, 10, 71

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 71 is 71

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(20, 80) = 80

GCD(20, 80) = ( 20 x 80 ) / 80

GCD(20, 80) = 1600 / 80

GCD(20, 80) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 10

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

LCM(20, 10) = 20

GCD(20, 10) = ( 20 x 10 ) / 20

GCD(20, 10) = 200 / 20

GCD(20, 10) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 71

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

LCM(10, 71) = 710

GCD(10, 71) = ( 10 x 71 ) / 710

GCD(10, 71) = 710 / 710

GCD(10, 71) = 1

GCD of 20, 80, 10, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 46, 40, 16
• GCD of 13, 30, 42, 54
• GCD of 19, 57, 77, 76
• GCD of 54, 36, 88, 19
• GCD of 49, 71, 74, 64

1. What is the GCD of 20, 80, 10, 71?

GCD of 20, 80, 10, 71 is 1

2. Where do I get the detailed procedure to find GCD of 20, 80, 10, 71?

You can find a detailed procedure to find GCD of 20, 80, 10, 71 on our page.

3. How to find GCD of 20, 80, 10, 71 on a calculator?

You can find the GCD of 20, 80, 10, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.