GCD of 639, 348, 312, 226 Calculator

Given Input numbers are 639, 348, 312, 226

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

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Greatest Common Divisior

We found the divisors of 639, 348, 312, 226 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 639, 348, 312, 226 is 1.

Therefore, GCD of numbers 639, 348, 312, 226 is 1

Given Input Data is 639, 348, 312, 226

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

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 226 is 2 x 113

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(639, 348) = 74124

GCD(639, 348) = ( 639 x 348 ) / 74124

GCD(639, 348) = 222372 / 74124

GCD(639, 348) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 312

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

LCM(3, 312) = 312

GCD(3, 312) = ( 3 x 312 ) / 312

GCD(3, 312) = 936 / 312

GCD(3, 312) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 226

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

LCM(3, 226) = 678

GCD(3, 226) = ( 3 x 226 ) / 678

GCD(3, 226) = 678 / 678

GCD(3, 226) = 1

GCD of 639, 348, 312, 226 is 1

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1. What is the GCD of 639, 348, 312, 226?

GCD of 639, 348, 312, 226 is 1

2. Where do I get the detailed procedure to find GCD of 639, 348, 312, 226?

You can find a detailed procedure to find GCD of 639, 348, 312, 226 on our page.

3. How to find GCD of 639, 348, 312, 226 on a calculator?

You can find the GCD of 639, 348, 312, 226 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.