GCD of 138, 194, 639, 648 Calculator

Given Input numbers are 138, 194, 639, 648

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 639

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

1, 3, 9, 71, 213, 639

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 138, 194, 639, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 194, 639, 648 is 1.

Therefore, GCD of numbers 138, 194, 639, 648 is 1

Given Input Data is 138, 194, 639, 648

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 194 is 2 x 97

Prime Factorization of 639 is 3 x 3 x 71

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(138, 194) = 13386

GCD(138, 194) = ( 138 x 194 ) / 13386

GCD(138, 194) = 26772 / 13386

GCD(138, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 639

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

LCM(2, 639) = 1278

GCD(2, 639) = ( 2 x 639 ) / 1278

GCD(2, 639) = 1278 / 1278

GCD(2, 639) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 138, 194, 639, 648 is 1

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1. What is the GCD of 138, 194, 639, 648?

GCD of 138, 194, 639, 648 is 1

2. Where do I get the detailed procedure to find GCD of 138, 194, 639, 648?

You can find a detailed procedure to find GCD of 138, 194, 639, 648 on our page.

3. How to find GCD of 138, 194, 639, 648 on a calculator?

You can find the GCD of 138, 194, 639, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.