GCD of 24, 489, 732, 696 Calculator

Given Input numbers are 24, 489, 732, 696

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 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 24, 489, 732, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 489, 732, 696 is 3.

Therefore, GCD of numbers 24, 489, 732, 696 is 3

Given Input Data is 24, 489, 732, 696

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 489 is 3 x 163

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 489) = 3912

GCD(24, 489) = ( 24 x 489 ) / 3912

GCD(24, 489) = 11736 / 3912

GCD(24, 489) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 732

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

LCM(3, 732) = 732

GCD(3, 732) = ( 3 x 732 ) / 732

GCD(3, 732) = 2196 / 732

GCD(3, 732) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 696

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

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

GCD(3, 696) = 2088 / 696

GCD(3, 696) = 3

GCD of 24, 489, 732, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 764, 896, 761
• GCD of 44, 584, 131, 798
• GCD of 71, 508, 274, 630
• GCD of 97, 843, 358, 878
• GCD of 57, 572, 440, 541

1. What is the GCD of 24, 489, 732, 696?

GCD of 24, 489, 732, 696 is 3

2. Where do I get the detailed procedure to find GCD of 24, 489, 732, 696?

You can find a detailed procedure to find GCD of 24, 489, 732, 696 on our page.

3. How to find GCD of 24, 489, 732, 696 on a calculator?

You can find the GCD of 24, 489, 732, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.