GCD of 595, 456, 381 Calculator

Given Input numbers are 595, 456, 381

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 595, 456, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 456, 381 is 1.

Therefore, GCD of numbers 595, 456, 381 is 1

Given Input Data is 595, 456, 381

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

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 381 is 3 x 127

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(595, 456) = 271320

GCD(595, 456) = ( 595 x 456 ) / 271320

GCD(595, 456) = 271320 / 271320

GCD(595, 456) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 595, 456, 381 is 1

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1. What is the GCD of 595, 456, 381?

GCD of 595, 456, 381 is 1

2. Where do I get the detailed procedure to find GCD of 595, 456, 381?

You can find a detailed procedure to find GCD of 595, 456, 381 on our page.

3. How to find GCD of 595, 456, 381 on a calculator?

You can find the GCD of 595, 456, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.