GCD of 574, 126, 395 Calculator

Given Input numbers are 574, 126, 395

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 395

List of positive integer divisors of 395 that divides 395 without a remainder.

1, 5, 79, 395

Greatest Common Divisior

We found the divisors of 574, 126, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 126, 395 is 1.

Therefore, GCD of numbers 574, 126, 395 is 1

Given Input Data is 574, 126, 395

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 395 is 5 x 79

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(574, 126) = 5166

GCD(574, 126) = ( 574 x 126 ) / 5166

GCD(574, 126) = 72324 / 5166

GCD(574, 126) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 395

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

LCM(14, 395) = 5530

GCD(14, 395) = ( 14 x 395 ) / 5530

GCD(14, 395) = 5530 / 5530

GCD(14, 395) = 1

GCD of 574, 126, 395 is 1

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1. What is the GCD of 574, 126, 395?

GCD of 574, 126, 395 is 1

2. Where do I get the detailed procedure to find GCD of 574, 126, 395?

You can find a detailed procedure to find GCD of 574, 126, 395 on our page.

3. How to find GCD of 574, 126, 395 on a calculator?

You can find the GCD of 574, 126, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.