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 14, 468, 133, 495 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 468, 133, 495 is 1
GCD(14, 468, 133, 495) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 468, 133, 495 is 1
GCD(14, 468, 133, 495) = 1
Given Input numbers are 14, 468, 133, 495
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Greatest Common Divisior
We found the divisors of 14, 468, 133, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 468, 133, 495 is 1.
Therefore, GCD of numbers 14, 468, 133, 495 is 1
Given Input Data is 14, 468, 133, 495
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 133 is 7 x 19
Prime Factorization of 495 is 3 x 3 x 5 x 11
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(14, 468) = 3276
GCD(14, 468) = ( 14 x 468 ) / 3276
GCD(14, 468) = 6552 / 3276
GCD(14, 468) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 133) = 266
GCD(2, 133) = ( 2 x 133 ) / 266
GCD(2, 133) = 266 / 266
GCD(2, 133) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 495) = 495
GCD(1, 495) = ( 1 x 495 ) / 495
GCD(1, 495) = 495 / 495
GCD(1, 495) = 1
GCD of 14, 468, 133, 495 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 468, 133, 495?
GCD of 14, 468, 133, 495 is 1
2. Where do I get the detailed procedure to find GCD of 14, 468, 133, 495?
You can find a detailed procedure to find GCD of 14, 468, 133, 495 on our page.
3. How to find GCD of 14, 468, 133, 495 on a calculator?
You can find the GCD of 14, 468, 133, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.