GCD of 85, 97, 39, 84 Calculator

Given Input numbers are 85, 97, 39, 84

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

Divisors of 85

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

1, 5, 17, 85

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 39

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

1, 3, 13, 39

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

Greatest Common Divisior

We found the divisors of 85, 97, 39, 84 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 85, 97, 39, 84 is 1.

Therefore, GCD of numbers 85, 97, 39, 84 is 1

Given Input Data is 85, 97, 39, 84

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

Prime Factorization of 85 is 5 x 17

Prime Factorization of 97 is 97

Prime Factorization of 39 is 3 x 13

Prime Factorization of 84 is 2 x 2 x 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(85, 97) = 8245

GCD(85, 97) = ( 85 x 97 ) / 8245

GCD(85, 97) = 8245 / 8245

GCD(85, 97) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

GCD of 85, 97, 39, 84 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 88, 93, 86
• GCD of 58, 19, 57, 89
• GCD of 87, 16, 96, 72
• GCD of 63, 28, 23, 11
• GCD of 91, 49, 89, 21

1. What is the GCD of 85, 97, 39, 84?

GCD of 85, 97, 39, 84 is 1

2. Where do I get the detailed procedure to find GCD of 85, 97, 39, 84?

You can find a detailed procedure to find GCD of 85, 97, 39, 84 on our page.

3. How to find GCD of 85, 97, 39, 84 on a calculator?

You can find the GCD of 85, 97, 39, 84 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.