GCD of 80, 34, 82, 86 Calculator

Given Input numbers are 80, 34, 82, 86

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Greatest Common Divisior

We found the divisors of 80, 34, 82, 86 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 34, 82, 86 is 2.

Therefore, GCD of numbers 80, 34, 82, 86 is 2

Given Input Data is 80, 34, 82, 86

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 34 is 2 x 17

Prime Factorization of 82 is 2 x 41

Prime Factorization of 86 is 2 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 34) = 1360

GCD(80, 34) = ( 80 x 34 ) / 1360

GCD(80, 34) = 2720 / 1360

GCD(80, 34) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 86

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

LCM(2, 86) = 86

GCD(2, 86) = ( 2 x 86 ) / 86

GCD(2, 86) = 172 / 86

GCD(2, 86) = 2

GCD of 80, 34, 82, 86 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 20, 62, 67
• GCD of 87, 24, 97, 73
• GCD of 23, 84, 80, 23
• GCD of 69, 14, 45, 17
• GCD of 49, 74, 27, 97

1. What is the GCD of 80, 34, 82, 86?

GCD of 80, 34, 82, 86 is 2

2. Where do I get the detailed procedure to find GCD of 80, 34, 82, 86?

You can find a detailed procedure to find GCD of 80, 34, 82, 86 on our page.

3. How to find GCD of 80, 34, 82, 86 on a calculator?

You can find the GCD of 80, 34, 82, 86 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.