GCD of 59, 838, 796, 427 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 59, 838, 796, 427 i.e. 1 largest integer that divides all the numbers equally.

GCD of 59, 838, 796, 427 is 1

GCD(59, 838, 796, 427) = 1

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

GCD of

GCD of numbers 59, 838, 796, 427 is 1

GCD(59, 838, 796, 427) = 1

GCD of 59,838,796,427 Calculator

GCDof 59,838,796,427 is 1

Given Input numbers are 59, 838, 796, 427

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 427

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

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 59, 838, 796, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 838, 796, 427 is 1.

Therefore, GCD of numbers 59, 838, 796, 427 is 1

Finding GCD of 59, 838, 796, 427 using Prime Factorization

Given Input Data is 59, 838, 796, 427

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

Prime Factorization of 59 is 59

Prime Factorization of 838 is 2 x 419

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 427 is 7 x 61

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

Finding GCD of 59, 838, 796, 427 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(59, 838) = 49442

GCD(59, 838) = ( 59 x 838 ) / 49442

GCD(59, 838) = 49442 / 49442

GCD(59, 838) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 796

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

LCM(1, 796) = 796

GCD(1, 796) = ( 1 x 796 ) / 796

GCD(1, 796) = 796 / 796

GCD(1, 796) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 59, 838, 796, 427 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 59, 838, 796, 427

1. What is the GCD of 59, 838, 796, 427?

GCD of 59, 838, 796, 427 is 1


2. Where do I get the detailed procedure to find GCD of 59, 838, 796, 427?

You can find a detailed procedure to find GCD of 59, 838, 796, 427 on our page.


3. How to find GCD of 59, 838, 796, 427 on a calculator?

You can find the GCD of 59, 838, 796, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.