GCD of 52, 24, 71, 42 Calculator

Given Input numbers are 52, 24, 71, 42

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

Divisors of 52

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

1, 2, 4, 13, 26, 52

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 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Greatest Common Divisior

We found the divisors of 52, 24, 71, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 24, 71, 42 is 1.

Therefore, GCD of numbers 52, 24, 71, 42 is 1

Given Input Data is 52, 24, 71, 42

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

Prime Factorization of 52 is 2 x 2 x 13

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

Prime Factorization of 71 is 71

Prime Factorization of 42 is 2 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(52, 24) = 312

GCD(52, 24) = ( 52 x 24 ) / 312

GCD(52, 24) = 1248 / 312

GCD(52, 24) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 71

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

LCM(4, 71) = 284

GCD(4, 71) = ( 4 x 71 ) / 284

GCD(4, 71) = 284 / 284

GCD(4, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

GCD of 52, 24, 71, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 54, 87, 17
• GCD of 17, 59, 35, 55
• GCD of 92, 79, 53, 82
• GCD of 48, 65, 55, 36
• GCD of 76, 70, 18, 58

1. What is the GCD of 52, 24, 71, 42?

GCD of 52, 24, 71, 42 is 1

2. Where do I get the detailed procedure to find GCD of 52, 24, 71, 42?

You can find a detailed procedure to find GCD of 52, 24, 71, 42 on our page.

3. How to find GCD of 52, 24, 71, 42 on a calculator?

You can find the GCD of 52, 24, 71, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.