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 435, 132, 819, 133 i.e. 1 largest integer that divides all the numbers equally.
GCD of 435, 132, 819, 133 is 1
GCD(435, 132, 819, 133) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 435, 132, 819, 133 is 1
GCD(435, 132, 819, 133) = 1
Given Input numbers are 435, 132, 819, 133
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 435, 132, 819, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 435, 132, 819, 133 is 1.
Therefore, GCD of numbers 435, 132, 819, 133 is 1
Given Input Data is 435, 132, 819, 133
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 435 is 3 x 5 x 29
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 819 is 3 x 3 x 7 x 13
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(435, 132) = 19140
GCD(435, 132) = ( 435 x 132 ) / 19140
GCD(435, 132) = 57420 / 19140
GCD(435, 132) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 819
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 819) = 819
GCD(3, 819) = ( 3 x 819 ) / 819
GCD(3, 819) = 2457 / 819
GCD(3, 819) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 133
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 133) = 399
GCD(3, 133) = ( 3 x 133 ) / 399
GCD(3, 133) = 399 / 399
GCD(3, 133) = 1
GCD of 435, 132, 819, 133 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 435, 132, 819, 133?
GCD of 435, 132, 819, 133 is 1
2. Where do I get the detailed procedure to find GCD of 435, 132, 819, 133?
You can find a detailed procedure to find GCD of 435, 132, 819, 133 on our page.
3. How to find GCD of 435, 132, 819, 133 on a calculator?
You can find the GCD of 435, 132, 819, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.