GCD of 51, 78, 96, 83 Calculator

Given Input numbers are 51, 78, 96, 83

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Greatest Common Divisior

We found the divisors of 51, 78, 96, 83 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 78, 96, 83 is 1.

Therefore, GCD of numbers 51, 78, 96, 83 is 1

Given Input Data is 51, 78, 96, 83

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 78 is 2 x 3 x 13

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

Prime Factorization of 83 is 83

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(51, 78) = 1326

GCD(51, 78) = ( 51 x 78 ) / 1326

GCD(51, 78) = 3978 / 1326

GCD(51, 78) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 83

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

LCM(3, 83) = 249

GCD(3, 83) = ( 3 x 83 ) / 249

GCD(3, 83) = 249 / 249

GCD(3, 83) = 1

GCD of 51, 78, 96, 83 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 62, 88, 30
• GCD of 48, 99, 80, 53
• GCD of 62, 11, 23, 11
• GCD of 52, 37, 41, 52
• GCD of 23, 37, 67, 35

1. What is the GCD of 51, 78, 96, 83?

GCD of 51, 78, 96, 83 is 1

2. Where do I get the detailed procedure to find GCD of 51, 78, 96, 83?

You can find a detailed procedure to find GCD of 51, 78, 96, 83 on our page.

3. How to find GCD of 51, 78, 96, 83 on a calculator?

You can find the GCD of 51, 78, 96, 83 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.