GCD of 82, 84, 71, 87 Calculator

Given Input numbers are 82, 84, 71, 87

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

Divisors of 82

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

1, 2, 41, 82

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 71

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

1, 71

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Greatest Common Divisior

We found the divisors of 82, 84, 71, 87 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 84, 71, 87 is 1.

Therefore, GCD of numbers 82, 84, 71, 87 is 1

Given Input Data is 82, 84, 71, 87

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 71 is 71

Prime Factorization of 87 is 3 x 29

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(82, 84) = 3444

GCD(82, 84) = ( 82 x 84 ) / 3444

GCD(82, 84) = 6888 / 3444

GCD(82, 84) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 87

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

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

GCD(1, 87) = 87 / 87

GCD(1, 87) = 1

GCD of 82, 84, 71, 87 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 62, 20, 72
• GCD of 99, 60, 95, 45
• GCD of 45, 24, 77, 45
• GCD of 32, 44, 36, 81
• GCD of 37, 79, 49, 65

1. What is the GCD of 82, 84, 71, 87?

GCD of 82, 84, 71, 87 is 1

2. Where do I get the detailed procedure to find GCD of 82, 84, 71, 87?

You can find a detailed procedure to find GCD of 82, 84, 71, 87 on our page.

3. How to find GCD of 82, 84, 71, 87 on a calculator?

You can find the GCD of 82, 84, 71, 87 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.