GCD of 399, 456, 601, 681 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 399, 456, 601, 681 i.e. 1 largest integer that divides all the numbers equally.

GCD of 399, 456, 601, 681 is 1

GCD(399, 456, 601, 681) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 399, 456, 601, 681 is 1

GCD(399, 456, 601, 681) = 1

GCD of 399,456,601,681 Calculator

GCDof 399,456,601,681 is 1

Given Input numbers are 399, 456, 601, 681

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

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 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 399, 456, 601, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 456, 601, 681 is 1.

Therefore, GCD of numbers 399, 456, 601, 681 is 1

Finding GCD of 399, 456, 601, 681 using Prime Factorization

Given Input Data is 399, 456, 601, 681

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

Prime Factorization of 399 is 3 x 7 x 19

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

Prime Factorization of 601 is 601

Prime Factorization of 681 is 3 x 227

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 399, 456, 601, 681 using LCM Formula

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(399, 456) = 3192

GCD(399, 456) = ( 399 x 456 ) / 3192

GCD(399, 456) = 181944 / 3192

GCD(399, 456) = 57


Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 601

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

LCM(57, 601) = 34257

GCD(57, 601) = ( 57 x 601 ) / 34257

GCD(57, 601) = 34257 / 34257

GCD(57, 601) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 399, 456, 601, 681 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 399, 456, 601, 681

1. What is the GCD of 399, 456, 601, 681?

GCD of 399, 456, 601, 681 is 1


2. Where do I get the detailed procedure to find GCD of 399, 456, 601, 681?

You can find a detailed procedure to find GCD of 399, 456, 601, 681 on our page.


3. How to find GCD of 399, 456, 601, 681 on a calculator?

You can find the GCD of 399, 456, 601, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.