GCD of 24, 48, 60 Calculator

Given Input numbers are 24, 48, 60

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 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

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

Greatest Common Divisior

We found the divisors of 24, 48, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 48, 60 is 12.

Therefore, GCD of numbers 24, 48, 60 is 12

Given Input Data is 24, 48, 60

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 48 is 2 x 2 x 2 x 2 x 3

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

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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, 48) = 48

GCD(24, 48) = ( 24 x 48 ) / 48

GCD(24, 48) = 1152 / 48

GCD(24, 48) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 60

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

LCM(24, 60) = 120

GCD(24, 60) = ( 24 x 60 ) / 120

GCD(24, 60) = 1440 / 120

GCD(24, 60) = 12

GCD of 24, 48, 60 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 39, 59
• GCD of 49, 30, 55
• GCD of 33, 54, 17
• GCD of 85, 30, 57
• GCD of 97, 54, 57

1. What is the GCD of 24, 48, 60?

GCD of 24, 48, 60 is 12

2. Where do I get the detailed procedure to find GCD of 24, 48, 60?

You can find a detailed procedure to find GCD of 24, 48, 60 on our page.

3. How to find GCD of 24, 48, 60 on a calculator?

You can find the GCD of 24, 48, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.