GCD of 50, 38, 57, 75 Calculator

Given Input numbers are 50, 38, 57, 75

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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

Greatest Common Divisior

We found the divisors of 50, 38, 57, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 38, 57, 75 is 1.

Therefore, GCD of numbers 50, 38, 57, 75 is 1

Given Input Data is 50, 38, 57, 75

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 38 is 2 x 19

Prime Factorization of 57 is 3 x 19

Prime Factorization of 75 is 3 x 5 x 5

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(50, 38) = 950

GCD(50, 38) = ( 50 x 38 ) / 950

GCD(50, 38) = 1900 / 950

GCD(50, 38) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

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

GCD of 50, 38, 57, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 11, 26, 88
• GCD of 35, 42, 43, 49
• GCD of 98, 81, 67, 29
• GCD of 25, 58, 77, 45
• GCD of 34, 33, 48, 79

1. What is the GCD of 50, 38, 57, 75?

GCD of 50, 38, 57, 75 is 1

2. Where do I get the detailed procedure to find GCD of 50, 38, 57, 75?

You can find a detailed procedure to find GCD of 50, 38, 57, 75 on our page.

3. How to find GCD of 50, 38, 57, 75 on a calculator?

You can find the GCD of 50, 38, 57, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.