GCD of 57, 75, 42, 47 Calculator

Given Input numbers are 57, 75, 42, 47

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Greatest Common Divisior

We found the divisors of 57, 75, 42, 47 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 75, 42, 47 is 1.

Therefore, GCD of numbers 57, 75, 42, 47 is 1

Given Input Data is 57, 75, 42, 47

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 47 is 47

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(57, 75) = 1425

GCD(57, 75) = ( 57 x 75 ) / 1425

GCD(57, 75) = 4275 / 1425

GCD(57, 75) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

GCD of 57, 75, 42, 47 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 96, 20, 67, 69
• GCD of 77, 42, 71, 68
• GCD of 95, 12, 45, 20
• GCD of 40, 51, 71, 62
• GCD of 88, 82, 79, 13

1. What is the GCD of 57, 75, 42, 47?

GCD of 57, 75, 42, 47 is 1

2. Where do I get the detailed procedure to find GCD of 57, 75, 42, 47?

You can find a detailed procedure to find GCD of 57, 75, 42, 47 on our page.

3. How to find GCD of 57, 75, 42, 47 on a calculator?

You can find the GCD of 57, 75, 42, 47 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.