GCD of 49, 118, 264, 921 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 49, 118, 264, 921 i.e. 1 largest integer that divides all the numbers equally.

GCD of 49, 118, 264, 921 is 1

GCD(49, 118, 264, 921) = 1

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

GCD of

GCD of numbers 49, 118, 264, 921 is 1

GCD(49, 118, 264, 921) = 1

GCD of 49,118,264,921 Calculator

GCDof 49,118,264,921 is 1

Given Input numbers are 49, 118, 264, 921

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

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 921

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

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 49, 118, 264, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 118, 264, 921 is 1.

Therefore, GCD of numbers 49, 118, 264, 921 is 1

Finding GCD of 49, 118, 264, 921 using Prime Factorization

Given Input Data is 49, 118, 264, 921

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

Prime Factorization of 49 is 7 x 7

Prime Factorization of 118 is 2 x 59

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 921 is 3 x 307

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

Finding GCD of 49, 118, 264, 921 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(49, 118) = 5782

GCD(49, 118) = ( 49 x 118 ) / 5782

GCD(49, 118) = 5782 / 5782

GCD(49, 118) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 49, 118, 264, 921 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 49, 118, 264, 921

1. What is the GCD of 49, 118, 264, 921?

GCD of 49, 118, 264, 921 is 1


2. Where do I get the detailed procedure to find GCD of 49, 118, 264, 921?

You can find a detailed procedure to find GCD of 49, 118, 264, 921 on our page.


3. How to find GCD of 49, 118, 264, 921 on a calculator?

You can find the GCD of 49, 118, 264, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.