GCD of 428, 546, 395 Calculator

Given Input numbers are 428, 546, 395

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 428, 546, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 546, 395 is 1.

Therefore, GCD of numbers 428, 546, 395 is 1

Given Input Data is 428, 546, 395

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(428, 546) = 116844

GCD(428, 546) = ( 428 x 546 ) / 116844

GCD(428, 546) = 233688 / 116844

GCD(428, 546) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 395

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

LCM(2, 395) = 790

GCD(2, 395) = ( 2 x 395 ) / 790

GCD(2, 395) = 790 / 790

GCD(2, 395) = 1

GCD of 428, 546, 395 is 1

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1. What is the GCD of 428, 546, 395?

GCD of 428, 546, 395 is 1

2. Where do I get the detailed procedure to find GCD of 428, 546, 395?

You can find a detailed procedure to find GCD of 428, 546, 395 on our page.

3. How to find GCD of 428, 546, 395 on a calculator?

You can find the GCD of 428, 546, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.