GCD of 906, 221, 938 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 906, 221, 938 i.e. 1 largest integer that divides all the numbers equally.

GCD of 906, 221, 938 is 1

GCD(906, 221, 938) = 1

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

GCD of

GCD of numbers 906, 221, 938 is 1

GCD(906, 221, 938) = 1

GCD of 906,221,938 Calculator

GCDof 906,221,938 is 1

Given Input numbers are 906, 221, 938

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

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 221

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

1, 13, 17, 221

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 906, 221, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 221, 938 is 1.

Therefore, GCD of numbers 906, 221, 938 is 1

Finding GCD of 906, 221, 938 using Prime Factorization

Given Input Data is 906, 221, 938

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

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 221 is 13 x 17

Prime Factorization of 938 is 2 x 7 x 67

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

Finding GCD of 906, 221, 938 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(906, 221) = 200226

GCD(906, 221) = ( 906 x 221 ) / 200226

GCD(906, 221) = 200226 / 200226

GCD(906, 221) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 906, 221, 938 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 906, 221, 938

1. What is the GCD of 906, 221, 938?

GCD of 906, 221, 938 is 1


2. Where do I get the detailed procedure to find GCD of 906, 221, 938?

You can find a detailed procedure to find GCD of 906, 221, 938 on our page.


3. How to find GCD of 906, 221, 938 on a calculator?

You can find the GCD of 906, 221, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.