GCD of 336, 638, 642, 464 Calculator

Given Input numbers are 336, 638, 642, 464

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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 642

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

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 336, 638, 642, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 638, 642, 464 is 2.

Therefore, GCD of numbers 336, 638, 642, 464 is 2

Given Input Data is 336, 638, 642, 464

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(336, 638) = 107184

GCD(336, 638) = ( 336 x 638 ) / 107184

GCD(336, 638) = 214368 / 107184

GCD(336, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 642

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

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

GCD(2, 642) = 1284 / 642

GCD(2, 642) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 336, 638, 642, 464 is 2

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1. What is the GCD of 336, 638, 642, 464?

GCD of 336, 638, 642, 464 is 2

2. Where do I get the detailed procedure to find GCD of 336, 638, 642, 464?

You can find a detailed procedure to find GCD of 336, 638, 642, 464 on our page.

3. How to find GCD of 336, 638, 642, 464 on a calculator?

You can find the GCD of 336, 638, 642, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.