GCD of 638, 278, 899, 649 Calculator

Given Input numbers are 638, 278, 899, 649

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 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 638, 278, 899, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 278, 899, 649 is 1.

Therefore, GCD of numbers 638, 278, 899, 649 is 1

Given Input Data is 638, 278, 899, 649

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 278 is 2 x 139

Prime Factorization of 899 is 29 x 31

Prime Factorization of 649 is 11 x 59

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(638, 278) = 88682

GCD(638, 278) = ( 638 x 278 ) / 88682

GCD(638, 278) = 177364 / 88682

GCD(638, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 638, 278, 899, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 813, 249, 192
• GCD of 374, 647, 114, 698
• GCD of 760, 251, 130, 431
• GCD of 655, 386, 325, 783
• GCD of 401, 106, 975, 817

1. What is the GCD of 638, 278, 899, 649?

GCD of 638, 278, 899, 649 is 1

2. Where do I get the detailed procedure to find GCD of 638, 278, 899, 649?

You can find a detailed procedure to find GCD of 638, 278, 899, 649 on our page.

3. How to find GCD of 638, 278, 899, 649 on a calculator?

You can find the GCD of 638, 278, 899, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.