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 463, 460, 706, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 460, 706, 133 is 1
GCD(463, 460, 706, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 460, 706, 133 is 1
GCD(463, 460, 706, 133) = 1
Given Input numbers are 463, 460, 706, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
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
Divisors of 706
List of positive integer divisors of 706 that divides 706 without a remainder.
1, 2, 353, 706
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Greatest Common Divisior
We found the divisors of 463, 460, 706, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 460, 706, 133 is 1.
Therefore, GCD of numbers 463, 460, 706, 133 is 1
Given Input Data is 463, 460, 706, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 706 is 2 x 353
Prime Factorization of 133 is 7 x 19
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(463, 460) = 212980
GCD(463, 460) = ( 463 x 460 ) / 212980
GCD(463, 460) = 212980 / 212980
GCD(463, 460) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 706
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 706) = 706
GCD(1, 706) = ( 1 x 706 ) / 706
GCD(1, 706) = 706 / 706
GCD(1, 706) = 1
Step3:
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
GCD of 463, 460, 706, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 460, 706, 133?
GCD of 463, 460, 706, 133 is 1
2. Where do I get the detailed procedure to find GCD of 463, 460, 706, 133?
You can find a detailed procedure to find GCD of 463, 460, 706, 133 on our page.
3. How to find GCD of 463, 460, 706, 133 on a calculator?
You can find the GCD of 463, 460, 706, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.