GCD of 427, 338, 75 Calculator

Given Input numbers are 427, 338, 75

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

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

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 427, 338, 75 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 427, 338, 75 is 1.

Therefore, GCD of numbers 427, 338, 75 is 1

Given Input Data is 427, 338, 75

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

Prime Factorization of 427 is 7 x 61

Prime Factorization of 338 is 2 x 13 x 13

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(427, 338) = 144326

GCD(427, 338) = ( 427 x 338 ) / 144326

GCD(427, 338) = 144326 / 144326

GCD(427, 338) = 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

GCD of 427, 338, 75 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 550, 56
• GCD of 202, 170, 16
• GCD of 730, 949, 87
• GCD of 914, 397, 54
• GCD of 550, 540, 23

1. What is the GCD of 427, 338, 75?

GCD of 427, 338, 75 is 1

2. Where do I get the detailed procedure to find GCD of 427, 338, 75?

You can find a detailed procedure to find GCD of 427, 338, 75 on our page.

3. How to find GCD of 427, 338, 75 on a calculator?

You can find the GCD of 427, 338, 75 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.