GCD of 644, 626, 680, 197 Calculator

Given Input numbers are 644, 626, 680, 197

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 626

List of positive integer divisors of 626 that divides 626 without a remainder.

1, 2, 313, 626

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 644, 626, 680, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 626, 680, 197 is 1.

Therefore, GCD of numbers 644, 626, 680, 197 is 1

Given Input Data is 644, 626, 680, 197

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 626 is 2 x 313

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 197 is 197

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, 626) = 201572

GCD(644, 626) = ( 644 x 626 ) / 201572

GCD(644, 626) = 403144 / 201572

GCD(644, 626) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 680

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

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

GCD(2, 680) = 1360 / 680

GCD(2, 680) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 197

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

LCM(2, 197) = 394

GCD(2, 197) = ( 2 x 197 ) / 394

GCD(2, 197) = 394 / 394

GCD(2, 197) = 1

GCD of 644, 626, 680, 197 is 1

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1. What is the GCD of 644, 626, 680, 197?

GCD of 644, 626, 680, 197 is 1

2. Where do I get the detailed procedure to find GCD of 644, 626, 680, 197?

You can find a detailed procedure to find GCD of 644, 626, 680, 197 on our page.

3. How to find GCD of 644, 626, 680, 197 on a calculator?

You can find the GCD of 644, 626, 680, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.