GCD of 24, 84, 74, 26 Calculator

Given Input numbers are 24, 84, 74, 26

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

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Greatest Common Divisior

We found the divisors of 24, 84, 74, 26 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 84, 74, 26 is 2.

Therefore, GCD of numbers 24, 84, 74, 26 is 2

Given Input Data is 24, 84, 74, 26

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

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 74 is 2 x 37

Prime Factorization of 26 is 2 x 13

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(24, 84) = 168

GCD(24, 84) = ( 24 x 84 ) / 168

GCD(24, 84) = 2016 / 168

GCD(24, 84) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 74

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

LCM(12, 74) = 444

GCD(12, 74) = ( 12 x 74 ) / 444

GCD(12, 74) = 888 / 444

GCD(12, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

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

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

GCD of 24, 84, 74, 26 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 86, 70, 75
• GCD of 76, 94, 10, 17
• GCD of 94, 21, 56, 94
• GCD of 19, 74, 13, 60
• GCD of 65, 25, 42, 83

1. What is the GCD of 24, 84, 74, 26?

GCD of 24, 84, 74, 26 is 2

2. Where do I get the detailed procedure to find GCD of 24, 84, 74, 26?

You can find a detailed procedure to find GCD of 24, 84, 74, 26 on our page.

3. How to find GCD of 24, 84, 74, 26 on a calculator?

You can find the GCD of 24, 84, 74, 26 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.