GCD of 921, 267, 55, 991 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 921, 267, 55, 991 i.e. 1 largest integer that divides all the numbers equally.

GCD of 921, 267, 55, 991 is 1

GCD(921, 267, 55, 991) = 1

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

GCD of

GCD of numbers 921, 267, 55, 991 is 1

GCD(921, 267, 55, 991) = 1

GCD of 921,267,55,991 Calculator

GCDof 921,267,55,991 is 1

Given Input numbers are 921, 267, 55, 991

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 921, 267, 55, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 267, 55, 991 is 1.

Therefore, GCD of numbers 921, 267, 55, 991 is 1

Finding GCD of 921, 267, 55, 991 using Prime Factorization

Given Input Data is 921, 267, 55, 991

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 267 is 3 x 89

Prime Factorization of 55 is 5 x 11

Prime Factorization of 991 is 991

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

Finding GCD of 921, 267, 55, 991 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(921, 267) = 81969

GCD(921, 267) = ( 921 x 267 ) / 81969

GCD(921, 267) = 245907 / 81969

GCD(921, 267) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 55

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

LCM(3, 55) = 165

GCD(3, 55) = ( 3 x 55 ) / 165

GCD(3, 55) = 165 / 165

GCD(3, 55) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

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

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 921, 267, 55, 991 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 921, 267, 55, 991

1. What is the GCD of 921, 267, 55, 991?

GCD of 921, 267, 55, 991 is 1


2. Where do I get the detailed procedure to find GCD of 921, 267, 55, 991?

You can find a detailed procedure to find GCD of 921, 267, 55, 991 on our page.


3. How to find GCD of 921, 267, 55, 991 on a calculator?

You can find the GCD of 921, 267, 55, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.