GCD of 54, 25, 75, 42 Calculator

Given Input numbers are 54, 25, 75, 42

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 54, 25, 75, 42 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 25, 75, 42 is 1.

Therefore, GCD of numbers 54, 25, 75, 42 is 1

Given Input Data is 54, 25, 75, 42

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 25 is 5 x 5

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(54, 25) = 1350

GCD(54, 25) = ( 54 x 25 ) / 1350

GCD(54, 25) = 1350 / 1350

GCD(54, 25) = 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 54, 25, 75, 42 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 58, 48, 91, 57
• GCD of 12, 34, 29, 23
• GCD of 29, 46, 68, 24
• GCD of 14, 22, 72, 12
• GCD of 11, 99, 48, 61

1. What is the GCD of 54, 25, 75, 42?

GCD of 54, 25, 75, 42 is 1

2. Where do I get the detailed procedure to find GCD of 54, 25, 75, 42?

You can find a detailed procedure to find GCD of 54, 25, 75, 42 on our page.

3. How to find GCD of 54, 25, 75, 42 on a calculator?

You can find the GCD of 54, 25, 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.