GCD of 642, 438, 259 Calculator

Given Input numbers are 642, 438, 259

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

Divisors of 642

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

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 642, 438, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 438, 259 is 1.

Therefore, GCD of numbers 642, 438, 259 is 1

Given Input Data is 642, 438, 259

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 259 is 7 x 37

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(642, 438) = 46866

GCD(642, 438) = ( 642 x 438 ) / 46866

GCD(642, 438) = 281196 / 46866

GCD(642, 438) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 259

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

LCM(6, 259) = 1554

GCD(6, 259) = ( 6 x 259 ) / 1554

GCD(6, 259) = 1554 / 1554

GCD(6, 259) = 1

GCD of 642, 438, 259 is 1

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1. What is the GCD of 642, 438, 259?

GCD of 642, 438, 259 is 1

2. Where do I get the detailed procedure to find GCD of 642, 438, 259?

You can find a detailed procedure to find GCD of 642, 438, 259 on our page.

3. How to find GCD of 642, 438, 259 on a calculator?

You can find the GCD of 642, 438, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.