GCD of 387, 392, 221, 920 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 387, 392, 221, 920 i.e. 1 largest integer that divides all the numbers equally.

GCD of 387, 392, 221, 920 is 1

GCD(387, 392, 221, 920) = 1

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

GCD of

GCD of numbers 387, 392, 221, 920 is 1

GCD(387, 392, 221, 920) = 1

GCD of 387,392,221,920 Calculator

GCDof 387,392,221,920 is 1

Given Input numbers are 387, 392, 221, 920

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 387, 392, 221, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 392, 221, 920 is 1.

Therefore, GCD of numbers 387, 392, 221, 920 is 1

Finding GCD of 387, 392, 221, 920 using Prime Factorization

Given Input Data is 387, 392, 221, 920

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 221 is 13 x 17

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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

Finding GCD of 387, 392, 221, 920 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(387, 392) = 151704

GCD(387, 392) = ( 387 x 392 ) / 151704

GCD(387, 392) = 151704 / 151704

GCD(387, 392) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 221

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

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

GCD(1, 221) = 221 / 221

GCD(1, 221) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 920

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

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

GCD(1, 920) = 920 / 920

GCD(1, 920) = 1

GCD of 387, 392, 221, 920 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 387, 392, 221, 920

1. What is the GCD of 387, 392, 221, 920?

GCD of 387, 392, 221, 920 is 1


2. Where do I get the detailed procedure to find GCD of 387, 392, 221, 920?

You can find a detailed procedure to find GCD of 387, 392, 221, 920 on our page.


3. How to find GCD of 387, 392, 221, 920 on a calculator?

You can find the GCD of 387, 392, 221, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.