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 484, 133, 971, 296 i.e. 1 largest integer that divides all the numbers equally.
GCD of 484, 133, 971, 296 is 1
GCD(484, 133, 971, 296) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 484, 133, 971, 296 is 1
GCD(484, 133, 971, 296) = 1
Given Input numbers are 484, 133, 971, 296
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 484
List of positive integer divisors of 484 that divides 484 without a remainder.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 971
List of positive integer divisors of 971 that divides 971 without a remainder.
1, 971
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Greatest Common Divisior
We found the divisors of 484, 133, 971, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 484, 133, 971, 296 is 1.
Therefore, GCD of numbers 484, 133, 971, 296 is 1
Given Input Data is 484, 133, 971, 296
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 484 is 2 x 2 x 11 x 11
Prime Factorization of 133 is 7 x 19
Prime Factorization of 971 is 971
Prime Factorization of 296 is 2 x 2 x 2 x 37
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(484, 133) = 64372
GCD(484, 133) = ( 484 x 133 ) / 64372
GCD(484, 133) = 64372 / 64372
GCD(484, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 971
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 971) = 971
GCD(1, 971) = ( 1 x 971 ) / 971
GCD(1, 971) = 971 / 971
GCD(1, 971) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 296
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 296) = 296
GCD(1, 296) = ( 1 x 296 ) / 296
GCD(1, 296) = 296 / 296
GCD(1, 296) = 1
GCD of 484, 133, 971, 296 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 484, 133, 971, 296?
GCD of 484, 133, 971, 296 is 1
2. Where do I get the detailed procedure to find GCD of 484, 133, 971, 296?
You can find a detailed procedure to find GCD of 484, 133, 971, 296 on our page.
3. How to find GCD of 484, 133, 971, 296 on a calculator?
You can find the GCD of 484, 133, 971, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.