GCD of 363, 880, 90, 467 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 363, 880, 90, 467 i.e. 1 largest integer that divides all the numbers equally.

GCD of 363, 880, 90, 467 is 1

GCD(363, 880, 90, 467) = 1

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

GCD of

GCD of numbers 363, 880, 90, 467 is 1

GCD(363, 880, 90, 467) = 1

GCD of 363,880,90,467 Calculator

GCDof 363,880,90,467 is 1

Given Input numbers are 363, 880, 90, 467

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 363, 880, 90, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 880, 90, 467 is 1.

Therefore, GCD of numbers 363, 880, 90, 467 is 1

Finding GCD of 363, 880, 90, 467 using Prime Factorization

Given Input Data is 363, 880, 90, 467

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 467 is 467

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

Finding GCD of 363, 880, 90, 467 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(363, 880) = 29040

GCD(363, 880) = ( 363 x 880 ) / 29040

GCD(363, 880) = 319440 / 29040

GCD(363, 880) = 11


Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 90

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

LCM(11, 90) = 990

GCD(11, 90) = ( 11 x 90 ) / 990

GCD(11, 90) = 990 / 990

GCD(11, 90) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 363, 880, 90, 467 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 363, 880, 90, 467

1. What is the GCD of 363, 880, 90, 467?

GCD of 363, 880, 90, 467 is 1


2. Where do I get the detailed procedure to find GCD of 363, 880, 90, 467?

You can find a detailed procedure to find GCD of 363, 880, 90, 467 on our page.


3. How to find GCD of 363, 880, 90, 467 on a calculator?

You can find the GCD of 363, 880, 90, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.