GCD of 106, 614, 641, 629 Calculator

Given Input numbers are 106, 614, 641, 629

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

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 641

List of positive integer divisors of 641 that divides 641 without a remainder.

1, 641

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 106, 614, 641, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 106, 614, 641, 629 is 1.

Therefore, GCD of numbers 106, 614, 641, 629 is 1

Given Input Data is 106, 614, 641, 629

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

Prime Factorization of 106 is 2 x 53

Prime Factorization of 614 is 2 x 307

Prime Factorization of 641 is 641

Prime Factorization of 629 is 17 x 37

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(106, 614) = 32542

GCD(106, 614) = ( 106 x 614 ) / 32542

GCD(106, 614) = 65084 / 32542

GCD(106, 614) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 641

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

LCM(2, 641) = 1282

GCD(2, 641) = ( 2 x 641 ) / 1282

GCD(2, 641) = 1282 / 1282

GCD(2, 641) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 106, 614, 641, 629 is 1

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1. What is the GCD of 106, 614, 641, 629?

GCD of 106, 614, 641, 629 is 1

2. Where do I get the detailed procedure to find GCD of 106, 614, 641, 629?

You can find a detailed procedure to find GCD of 106, 614, 641, 629 on our page.

3. How to find GCD of 106, 614, 641, 629 on a calculator?

You can find the GCD of 106, 614, 641, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.