GCD of 395, 140, 58, 876 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 395, 140, 58, 876 i.e. 1 largest integer that divides all the numbers equally.

GCD of 395, 140, 58, 876 is 1

GCD(395, 140, 58, 876) = 1

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

GCD of

GCD of numbers 395, 140, 58, 876 is 1

GCD(395, 140, 58, 876) = 1

GCD of 395,140,58,876 Calculator

GCDof 395,140,58,876 is 1

Given Input numbers are 395, 140, 58, 876

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

Divisors of 395

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

1, 5, 79, 395

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Greatest Common Divisior

We found the divisors of 395, 140, 58, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 395, 140, 58, 876 is 1.

Therefore, GCD of numbers 395, 140, 58, 876 is 1

Finding GCD of 395, 140, 58, 876 using Prime Factorization

Given Input Data is 395, 140, 58, 876

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

Prime Factorization of 395 is 5 x 79

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 58 is 2 x 29

Prime Factorization of 876 is 2 x 2 x 3 x 73

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

Finding GCD of 395, 140, 58, 876 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(395, 140) = 11060

GCD(395, 140) = ( 395 x 140 ) / 11060

GCD(395, 140) = 55300 / 11060

GCD(395, 140) = 5


Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 58

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

LCM(5, 58) = 290

GCD(5, 58) = ( 5 x 58 ) / 290

GCD(5, 58) = 290 / 290

GCD(5, 58) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 876

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

LCM(1, 876) = 876

GCD(1, 876) = ( 1 x 876 ) / 876

GCD(1, 876) = 876 / 876

GCD(1, 876) = 1

GCD of 395, 140, 58, 876 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 395, 140, 58, 876

1. What is the GCD of 395, 140, 58, 876?

GCD of 395, 140, 58, 876 is 1


2. Where do I get the detailed procedure to find GCD of 395, 140, 58, 876?

You can find a detailed procedure to find GCD of 395, 140, 58, 876 on our page.


3. How to find GCD of 395, 140, 58, 876 on a calculator?

You can find the GCD of 395, 140, 58, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.