GCD of 24, 16, 52, 58 Calculator

Given Input numbers are 24, 16, 52, 58

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 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 24, 16, 52, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 24, 16, 52, 58 is 2.

Therefore, GCD of numbers 24, 16, 52, 58 is 2

Given Input Data is 24, 16, 52, 58

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 16 is 2 x 2 x 2 x 2

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 58 is 2 x 29

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, 16) = 48

GCD(24, 16) = ( 24 x 16 ) / 48

GCD(24, 16) = 384 / 48

GCD(24, 16) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 52

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

LCM(8, 52) = 104

GCD(8, 52) = ( 8 x 52 ) / 104

GCD(8, 52) = 416 / 104

GCD(8, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 58

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

LCM(4, 58) = 116

GCD(4, 58) = ( 4 x 58 ) / 116

GCD(4, 58) = 232 / 116

GCD(4, 58) = 2

GCD of 24, 16, 52, 58 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 33, 42, 11, 12
• GCD of 73, 19, 40, 40
• GCD of 40, 12, 50, 47
• GCD of 11, 52, 77, 81
• GCD of 20, 34, 38, 98

1. What is the GCD of 24, 16, 52, 58?

GCD of 24, 16, 52, 58 is 2

2. Where do I get the detailed procedure to find GCD of 24, 16, 52, 58?

You can find a detailed procedure to find GCD of 24, 16, 52, 58 on our page.

3. How to find GCD of 24, 16, 52, 58 on a calculator?

You can find the GCD of 24, 16, 52, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.