GCD of 361, 838, 141, 411 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 361, 838, 141, 411 i.e. 1 largest integer that divides all the numbers equally.

GCD of 361, 838, 141, 411 is 1

GCD(361, 838, 141, 411) = 1

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

GCD of

GCD of numbers 361, 838, 141, 411 is 1

GCD(361, 838, 141, 411) = 1

GCD of 361,838,141,411 Calculator

GCDof 361,838,141,411 is 1

Given Input numbers are 361, 838, 141, 411

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 838

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

1, 2, 419, 838

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 361, 838, 141, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 838, 141, 411 is 1.

Therefore, GCD of numbers 361, 838, 141, 411 is 1

Finding GCD of 361, 838, 141, 411 using Prime Factorization

Given Input Data is 361, 838, 141, 411

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 838 is 2 x 419

Prime Factorization of 141 is 3 x 47

Prime Factorization of 411 is 3 x 137

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

Finding GCD of 361, 838, 141, 411 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(361, 838) = 302518

GCD(361, 838) = ( 361 x 838 ) / 302518

GCD(361, 838) = 302518 / 302518

GCD(361, 838) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 411

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

LCM(1, 411) = 411

GCD(1, 411) = ( 1 x 411 ) / 411

GCD(1, 411) = 411 / 411

GCD(1, 411) = 1

GCD of 361, 838, 141, 411 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 361, 838, 141, 411

1. What is the GCD of 361, 838, 141, 411?

GCD of 361, 838, 141, 411 is 1


2. Where do I get the detailed procedure to find GCD of 361, 838, 141, 411?

You can find a detailed procedure to find GCD of 361, 838, 141, 411 on our page.


3. How to find GCD of 361, 838, 141, 411 on a calculator?

You can find the GCD of 361, 838, 141, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.