GCD of 644, 806, 64, 348 Calculator

Given Input numbers are 644, 806, 64, 348

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 644, 806, 64, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 806, 64, 348 is 2.

Therefore, GCD of numbers 644, 806, 64, 348 is 2

Given Input Data is 644, 806, 64, 348

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 806 is 2 x 13 x 31

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 348 is 2 x 2 x 3 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(644, 806) = 259532

GCD(644, 806) = ( 644 x 806 ) / 259532

GCD(644, 806) = 519064 / 259532

GCD(644, 806) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 64

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

LCM(2, 64) = 64

GCD(2, 64) = ( 2 x 64 ) / 64

GCD(2, 64) = 128 / 64

GCD(2, 64) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 348

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

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

GCD(2, 348) = 696 / 348

GCD(2, 348) = 2

GCD of 644, 806, 64, 348 is 2

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1. What is the GCD of 644, 806, 64, 348?

GCD of 644, 806, 64, 348 is 2

2. Where do I get the detailed procedure to find GCD of 644, 806, 64, 348?

You can find a detailed procedure to find GCD of 644, 806, 64, 348 on our page.

3. How to find GCD of 644, 806, 64, 348 on a calculator?

You can find the GCD of 644, 806, 64, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.