GCD of 84, 2, 42, 91 Calculator

Given Input numbers are 84, 2, 42, 91

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

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 2

List of positive integer divisors of 2 that divides 2 without a remainder.

1, 2

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Greatest Common Divisior

We found the divisors of 84, 2, 42, 91 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 2, 42, 91 is 1.

Therefore, GCD of numbers 84, 2, 42, 91 is 1

Given Input Data is 84, 2, 42, 91

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

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

Prime Factorization of 2 is 2

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 91 is 7 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(84, 2) = 84

GCD(84, 2) = ( 84 x 2 ) / 84

GCD(84, 2) = 168 / 84

GCD(84, 2) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

GCD of 84, 2, 42, 91 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 7, 23, 97
• GCD of 11, 5, 83, 33
• GCD of 23, 9, 13, 98
• GCD of 28, 1, 52, 91
• GCD of 42, 7, 80, 19

1. What is the GCD of 84, 2, 42, 91?

GCD of 84, 2, 42, 91 is 1

2. Where do I get the detailed procedure to find GCD of 84, 2, 42, 91?

You can find a detailed procedure to find GCD of 84, 2, 42, 91 on our page.

3. How to find GCD of 84, 2, 42, 91 on a calculator?

You can find the GCD of 84, 2, 42, 91 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.