GCD of 91, 39, 96, 42 Calculator

Given Input numbers are 91, 39, 96, 42

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

Divisors of 91

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

1, 7, 13, 91

Divisors of 39

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

1, 3, 13, 39

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 42

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

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

Greatest Common Divisior

We found the divisors of 91, 39, 96, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 91, 39, 96, 42 is 1.

Therefore, GCD of numbers 91, 39, 96, 42 is 1

Given Input Data is 91, 39, 96, 42

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 39 is 3 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 42 is 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(91, 39) = 273

GCD(91, 39) = ( 91 x 39 ) / 273

GCD(91, 39) = 3549 / 273

GCD(91, 39) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 96

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

LCM(13, 96) = 1248

GCD(13, 96) = ( 13 x 96 ) / 1248

GCD(13, 96) = 1248 / 1248

GCD(13, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 91, 39, 96, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 83, 46, 81
• GCD of 33, 49, 11, 81
• GCD of 98, 22, 24, 73
• GCD of 91, 84, 64, 53
• GCD of 82, 77, 87, 25

1. What is the GCD of 91, 39, 96, 42?

GCD of 91, 39, 96, 42 is 1

2. Where do I get the detailed procedure to find GCD of 91, 39, 96, 42?

You can find a detailed procedure to find GCD of 91, 39, 96, 42 on our page.

3. How to find GCD of 91, 39, 96, 42 on a calculator?

You can find the GCD of 91, 39, 96, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.