GCD of 74, 28, 75 Calculator

Given Input numbers are 74, 28, 75

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

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

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 74, 28, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 28, 75 is 1.

Therefore, GCD of numbers 74, 28, 75 is 1

Given Input Data is 74, 28, 75

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 28 is 2 x 2 x 7

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(74, 28) = 1036

GCD(74, 28) = ( 74 x 28 ) / 1036

GCD(74, 28) = 2072 / 1036

GCD(74, 28) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

GCD of 74, 28, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 86, 17
• GCD of 25, 61, 35
• GCD of 87, 26, 74
• GCD of 99, 46, 83
• GCD of 44, 96, 60

1. What is the GCD of 74, 28, 75?

GCD of 74, 28, 75 is 1

2. Where do I get the detailed procedure to find GCD of 74, 28, 75?

You can find a detailed procedure to find GCD of 74, 28, 75 on our page.

3. How to find GCD of 74, 28, 75 on a calculator?

You can find the GCD of 74, 28, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.