GCD of 644, 198, 878, 305 Calculator

Given Input numbers are 644, 198, 878, 305

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 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Greatest Common Divisior

We found the divisors of 644, 198, 878, 305 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 198, 878, 305 is 1.

Therefore, GCD of numbers 644, 198, 878, 305 is 1

Given Input Data is 644, 198, 878, 305

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 198 is 2 x 3 x 3 x 11

Prime Factorization of 878 is 2 x 439

Prime Factorization of 305 is 5 x 61

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(644, 198) = 63756

GCD(644, 198) = ( 644 x 198 ) / 63756

GCD(644, 198) = 127512 / 63756

GCD(644, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 878

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

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

GCD(2, 878) = 1756 / 878

GCD(2, 878) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 305

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

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

GCD(2, 305) = 610 / 610

GCD(2, 305) = 1

GCD of 644, 198, 878, 305 is 1

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• GCD of 359, 569, 878, 517
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1. What is the GCD of 644, 198, 878, 305?

GCD of 644, 198, 878, 305 is 1

2. Where do I get the detailed procedure to find GCD of 644, 198, 878, 305?

You can find a detailed procedure to find GCD of 644, 198, 878, 305 on our page.

3. How to find GCD of 644, 198, 878, 305 on a calculator?

You can find the GCD of 644, 198, 878, 305 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.