GCD of 213, 329, 99, 642 Calculator

Given Input numbers are 213, 329, 99, 642

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 213, 329, 99, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 329, 99, 642 is 1.

Therefore, GCD of numbers 213, 329, 99, 642 is 1

Given Input Data is 213, 329, 99, 642

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 329 is 7 x 47

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 642 is 2 x 3 x 107

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(213, 329) = 70077

GCD(213, 329) = ( 213 x 329 ) / 70077

GCD(213, 329) = 70077 / 70077

GCD(213, 329) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 213, 329, 99, 642 is 1

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1. What is the GCD of 213, 329, 99, 642?

GCD of 213, 329, 99, 642 is 1

2. Where do I get the detailed procedure to find GCD of 213, 329, 99, 642?

You can find a detailed procedure to find GCD of 213, 329, 99, 642 on our page.

3. How to find GCD of 213, 329, 99, 642 on a calculator?

You can find the GCD of 213, 329, 99, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.