GCD of 55, 24, 75, 42 Calculator

Given Input numbers are 55, 24, 75, 42

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

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

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 55, 24, 75, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 24, 75, 42 is 1.

Therefore, GCD of numbers 55, 24, 75, 42 is 1

Given Input Data is 55, 24, 75, 42

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

Prime Factorization of 55 is 5 x 11

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

Prime Factorization of 75 is 3 x 5 x 5

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(55, 24) = 1320

GCD(55, 24) = ( 55 x 24 ) / 1320

GCD(55, 24) = 1320 / 1320

GCD(55, 24) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 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 55, 24, 75, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 59, 92, 59
• GCD of 64, 15, 59, 19
• GCD of 74, 71, 25, 14
• GCD of 31, 54, 71, 14
• GCD of 95, 65, 19, 28

1. What is the GCD of 55, 24, 75, 42?

GCD of 55, 24, 75, 42 is 1

2. Where do I get the detailed procedure to find GCD of 55, 24, 75, 42?

You can find a detailed procedure to find GCD of 55, 24, 75, 42 on our page.

3. How to find GCD of 55, 24, 75, 42 on a calculator?

You can find the GCD of 55, 24, 75, 42 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.