GCD of 643, 999, 132, 791 Calculator

Given Input numbers are 643, 999, 132, 791

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

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Divisors of 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

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 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 643, 999, 132, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 643, 999, 132, 791 is 1.

Therefore, GCD of numbers 643, 999, 132, 791 is 1

Given Input Data is 643, 999, 132, 791

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

Prime Factorization of 643 is 643

Prime Factorization of 999 is 3 x 3 x 3 x 37

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 791 is 7 x 113

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(643, 999) = 642357

GCD(643, 999) = ( 643 x 999 ) / 642357

GCD(643, 999) = 642357 / 642357

GCD(643, 999) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 132

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

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

GCD(1, 132) = 132 / 132

GCD(1, 132) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 643, 999, 132, 791 is 1

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1. What is the GCD of 643, 999, 132, 791?

GCD of 643, 999, 132, 791 is 1

2. Where do I get the detailed procedure to find GCD of 643, 999, 132, 791?

You can find a detailed procedure to find GCD of 643, 999, 132, 791 on our page.

3. How to find GCD of 643, 999, 132, 791 on a calculator?

You can find the GCD of 643, 999, 132, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.