GCD of 80, 85, 11, 21 Calculator

Given Input numbers are 80, 85, 11, 21

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

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 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 80, 85, 11, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 85, 11, 21 is 1.

Therefore, GCD of numbers 80, 85, 11, 21 is 1

Given Input Data is 80, 85, 11, 21

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

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 11 is 11

Prime Factorization of 21 is 3 x 7

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(80, 85) = 1360

GCD(80, 85) = ( 80 x 85 ) / 1360

GCD(80, 85) = 6800 / 1360

GCD(80, 85) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 11

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

LCM(5, 11) = 55

GCD(5, 11) = ( 5 x 11 ) / 55

GCD(5, 11) = 55 / 55

GCD(5, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 80, 85, 11, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 48, 52, 99
• GCD of 14, 45, 42, 44
• GCD of 91, 58, 58, 53
• GCD of 37, 65, 84, 41
• GCD of 17, 20, 13, 97

1. What is the GCD of 80, 85, 11, 21?

GCD of 80, 85, 11, 21 is 1

2. Where do I get the detailed procedure to find GCD of 80, 85, 11, 21?

You can find a detailed procedure to find GCD of 80, 85, 11, 21 on our page.

3. How to find GCD of 80, 85, 11, 21 on a calculator?

You can find the GCD of 80, 85, 11, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.