GCD of 435, 132, 819, 133 Calculator

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

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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.