GCD of 78, 59, 60, 28 Calculator

Given Input numbers are 78, 59, 60, 28

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

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 28

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

1, 2, 4, 7, 14, 28

Greatest Common Divisior

We found the divisors of 78, 59, 60, 28 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 59, 60, 28 is 1.

Therefore, GCD of numbers 78, 59, 60, 28 is 1

Given Input Data is 78, 59, 60, 28

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 59 is 59

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 28 is 2 x 2 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(78, 59) = 4602

GCD(78, 59) = ( 78 x 59 ) / 4602

GCD(78, 59) = 4602 / 4602

GCD(78, 59) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 28

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

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

GCD(1, 28) = 28 / 28

GCD(1, 28) = 1

GCD of 78, 59, 60, 28 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 67, 69, 69
• GCD of 96, 78, 97, 20
• GCD of 86, 96, 85, 27
• GCD of 29, 10, 40, 28
• GCD of 12, 22, 35, 55

1. What is the GCD of 78, 59, 60, 28?

GCD of 78, 59, 60, 28 is 1

2. Where do I get the detailed procedure to find GCD of 78, 59, 60, 28?

You can find a detailed procedure to find GCD of 78, 59, 60, 28 on our page.

3. How to find GCD of 78, 59, 60, 28 on a calculator?

You can find the GCD of 78, 59, 60, 28 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.