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 133, 271, 447, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 133, 271, 447, 460 is 1
GCD(133, 271, 447, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 133, 271, 447, 460 is 1
GCD(133, 271, 447, 460) = 1
Given Input numbers are 133, 271, 447, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 133, 271, 447, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 133, 271, 447, 460 is 1.
Therefore, GCD of numbers 133, 271, 447, 460 is 1
Given Input Data is 133, 271, 447, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 133 is 7 x 19
Prime Factorization of 271 is 271
Prime Factorization of 447 is 3 x 149
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(133, 271) = 36043
GCD(133, 271) = ( 133 x 271 ) / 36043
GCD(133, 271) = 36043 / 36043
GCD(133, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 447) = 447
GCD(1, 447) = ( 1 x 447 ) / 447
GCD(1, 447) = 447 / 447
GCD(1, 447) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 133, 271, 447, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 133, 271, 447, 460?
GCD of 133, 271, 447, 460 is 1
2. Where do I get the detailed procedure to find GCD of 133, 271, 447, 460?
You can find a detailed procedure to find GCD of 133, 271, 447, 460 on our page.
3. How to find GCD of 133, 271, 447, 460 on a calculator?
You can find the GCD of 133, 271, 447, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.