GCD of 71, 14, 86, 39 Calculator

Given Input numbers are 71, 14, 86, 39

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

Divisors of 71

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

1, 71

Divisors of 14

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

1, 2, 7, 14

Divisors of 86

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

1, 2, 43, 86

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Greatest Common Divisior

We found the divisors of 71, 14, 86, 39 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 14, 86, 39 is 1.

Therefore, GCD of numbers 71, 14, 86, 39 is 1

Given Input Data is 71, 14, 86, 39

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

Prime Factorization of 71 is 71

Prime Factorization of 14 is 2 x 7

Prime Factorization of 86 is 2 x 43

Prime Factorization of 39 is 3 x 13

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(71, 14) = 994

GCD(71, 14) = ( 71 x 14 ) / 994

GCD(71, 14) = 994 / 994

GCD(71, 14) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

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

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

GCD of 71, 14, 86, 39 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 40, 97, 43
• GCD of 63, 19, 47, 98
• GCD of 56, 12, 50, 55
• GCD of 83, 77, 37, 77
• GCD of 98, 55, 19, 87

1. What is the GCD of 71, 14, 86, 39?

GCD of 71, 14, 86, 39 is 1

2. Where do I get the detailed procedure to find GCD of 71, 14, 86, 39?

You can find a detailed procedure to find GCD of 71, 14, 86, 39 on our page.

3. How to find GCD of 71, 14, 86, 39 on a calculator?

You can find the GCD of 71, 14, 86, 39 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.