GCD of 80, 34, 14, 31 Calculator

Given Input numbers are 80, 34, 14, 31

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 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 80, 34, 14, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 34, 14, 31 is 1.

Therefore, GCD of numbers 80, 34, 14, 31 is 1

Given Input Data is 80, 34, 14, 31

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 14 is 2 x 7

Prime Factorization of 31 is 31

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, 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 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

GCD of 80, 34, 14, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 26, 22, 77
• GCD of 87, 89, 85, 69
• GCD of 32, 62, 57, 22
• GCD of 37, 94, 71, 89
• GCD of 17, 79, 78, 11

1. What is the GCD of 80, 34, 14, 31?

GCD of 80, 34, 14, 31 is 1

2. Where do I get the detailed procedure to find GCD of 80, 34, 14, 31?

You can find a detailed procedure to find GCD of 80, 34, 14, 31 on our page.

3. How to find GCD of 80, 34, 14, 31 on a calculator?

You can find the GCD of 80, 34, 14, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.