GCD of 381, 465, 98, 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 381, 465, 98, 427 i.e. 1 largest integer that divides all the numbers equally.

GCD of 381, 465, 98, 427 is 1

GCD(381, 465, 98, 427) = 1

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

GCD of

GCD of numbers 381, 465, 98, 427 is 1

GCD(381, 465, 98, 427) = 1

GCD of 381,465,98,427 Calculator

GCDof 381,465,98,427 is 1

Given Input numbers are 381, 465, 98, 427

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

Divisors of 381

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

1, 3, 127, 381

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 381, 465, 98, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 465, 98, 427 is 1.

Therefore, GCD of numbers 381, 465, 98, 427 is 1

Finding GCD of 381, 465, 98, 427 using Prime Factorization

Given Input Data is 381, 465, 98, 427

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 98 is 2 x 7 x 7

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 381, 465, 98, 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(381, 465) = 59055

GCD(381, 465) = ( 381 x 465 ) / 59055

GCD(381, 465) = 177165 / 59055

GCD(381, 465) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 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 381, 465, 98, 427 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 381, 465, 98, 427

1. What is the GCD of 381, 465, 98, 427?

GCD of 381, 465, 98, 427 is 1


2. Where do I get the detailed procedure to find GCD of 381, 465, 98, 427?

You can find a detailed procedure to find GCD of 381, 465, 98, 427 on our page.


3. How to find GCD of 381, 465, 98, 427 on a calculator?

You can find the GCD of 381, 465, 98, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.