GCD of 638, 734, 668 Calculator

Given Input numbers are 638, 734, 668

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 638, 734, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 734, 668 is 2.

Therefore, GCD of numbers 638, 734, 668 is 2

Given Input Data is 638, 734, 668

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 734 is 2 x 367

Prime Factorization of 668 is 2 x 2 x 167

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(638, 734) = 234146

GCD(638, 734) = ( 638 x 734 ) / 234146

GCD(638, 734) = 468292 / 234146

GCD(638, 734) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 668

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

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

GCD(2, 668) = 1336 / 668

GCD(2, 668) = 2

GCD of 638, 734, 668 is 2

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1. What is the GCD of 638, 734, 668?

GCD of 638, 734, 668 is 2

2. Where do I get the detailed procedure to find GCD of 638, 734, 668?

You can find a detailed procedure to find GCD of 638, 734, 668 on our page.

3. How to find GCD of 638, 734, 668 on a calculator?

You can find the GCD of 638, 734, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.