GCD of 78, 24, 72, 10 Calculator

Given Input numbers are 78, 24, 72, 10

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 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Greatest Common Divisior

We found the divisors of 78, 24, 72, 10 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 24, 72, 10 is 2.

Therefore, GCD of numbers 78, 24, 72, 10 is 2

Given Input Data is 78, 24, 72, 10

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 24 is 2 x 2 x 2 x 3

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 10 is 2 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 24) = 312

GCD(78, 24) = ( 78 x 24 ) / 312

GCD(78, 24) = 1872 / 312

GCD(78, 24) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 72

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

LCM(6, 72) = 72

GCD(6, 72) = ( 6 x 72 ) / 72

GCD(6, 72) = 432 / 72

GCD(6, 72) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 10

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

LCM(6, 10) = 30

GCD(6, 10) = ( 6 x 10 ) / 30

GCD(6, 10) = 60 / 30

GCD(6, 10) = 2

GCD of 78, 24, 72, 10 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 47, 86, 66, 32
• GCD of 55, 83, 85, 31
• GCD of 19, 68, 64, 25
• GCD of 60, 69, 47, 85
• GCD of 11, 72, 46, 13

1. What is the GCD of 78, 24, 72, 10?

GCD of 78, 24, 72, 10 is 2

2. Where do I get the detailed procedure to find GCD of 78, 24, 72, 10?

You can find a detailed procedure to find GCD of 78, 24, 72, 10 on our page.

3. How to find GCD of 78, 24, 72, 10 on a calculator?

You can find the GCD of 78, 24, 72, 10 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.