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 297, 733, 133, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 297, 733, 133, 921 is 1
GCD(297, 733, 133, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 297, 733, 133, 921 is 1
GCD(297, 733, 133, 921) = 1
Given Input numbers are 297, 733, 133, 921
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 733
List of positive integer divisors of 733 that divides 733 without a remainder.
1, 733
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
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 297, 733, 133, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 733, 133, 921 is 1.
Therefore, GCD of numbers 297, 733, 133, 921 is 1
Given Input Data is 297, 733, 133, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 297 is 3 x 3 x 3 x 11
Prime Factorization of 733 is 733
Prime Factorization of 133 is 7 x 19
Prime Factorization of 921 is 3 x 307
The above numbers do not have any common prime factor. So GCD is 1
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(297, 733) = 217701
GCD(297, 733) = ( 297 x 733 ) / 217701
GCD(297, 733) = 217701 / 217701
GCD(297, 733) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
GCD(1, 133) = 133 / 133
GCD(1, 133) = 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 297, 733, 133, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 297, 733, 133, 921?
GCD of 297, 733, 133, 921 is 1
2. Where do I get the detailed procedure to find GCD of 297, 733, 133, 921?
You can find a detailed procedure to find GCD of 297, 733, 133, 921 on our page.
3. How to find GCD of 297, 733, 133, 921 on a calculator?
You can find the GCD of 297, 733, 133, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.