GCD of 786, 321, 96, 433 Calculator

Given Input numbers are 786, 321, 96, 433

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 786, 321, 96, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 786, 321, 96, 433 is 1.

Therefore, GCD of numbers 786, 321, 96, 433 is 1

Given Input Data is 786, 321, 96, 433

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 321 is 3 x 107

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 433 is 433

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(786, 321) = 84102

GCD(786, 321) = ( 786 x 321 ) / 84102

GCD(786, 321) = 252306 / 84102

GCD(786, 321) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 433

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 433) = 1299

GCD(3, 433) = ( 3 x 433 ) / 1299

GCD(3, 433) = 1299 / 1299

GCD(3, 433) = 1

GCD of 786, 321, 96, 433 is 1

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• GCD of 379, 732, 29, 229
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1. What is the GCD of 786, 321, 96, 433?

GCD of 786, 321, 96, 433 is 1

2. Where do I get the detailed procedure to find GCD of 786, 321, 96, 433?

You can find a detailed procedure to find GCD of 786, 321, 96, 433 on our page.

3. How to find GCD of 786, 321, 96, 433 on a calculator?

You can find the GCD of 786, 321, 96, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.