GCD of 28, 96, 78, 89 Calculator

Given Input numbers are 28, 96, 78, 89

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

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 78

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

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 28, 96, 78, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 28, 96, 78, 89 is 1.

Therefore, GCD of numbers 28, 96, 78, 89 is 1

Given Input Data is 28, 96, 78, 89

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

Prime Factorization of 28 is 2 x 2 x 7

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 89 is 89

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(28, 96) = 672

GCD(28, 96) = ( 28 x 96 ) / 672

GCD(28, 96) = 2688 / 672

GCD(28, 96) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

GCD of 28, 96, 78, 89 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 87, 18, 91, 59
• GCD of 98, 23, 68, 52
• GCD of 52, 40, 36, 32
• GCD of 35, 23, 31, 51
• GCD of 95, 74, 88, 79

1. What is the GCD of 28, 96, 78, 89?

GCD of 28, 96, 78, 89 is 1

2. Where do I get the detailed procedure to find GCD of 28, 96, 78, 89?

You can find a detailed procedure to find GCD of 28, 96, 78, 89 on our page.

3. How to find GCD of 28, 96, 78, 89 on a calculator?

You can find the GCD of 28, 96, 78, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.