GCD of 629, 171, 113, 614 Calculator

Given Input numbers are 629, 171, 113, 614

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

Divisors of 629

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

1, 17, 37, 629

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 614

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

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 629, 171, 113, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 171, 113, 614 is 1.

Therefore, GCD of numbers 629, 171, 113, 614 is 1

Given Input Data is 629, 171, 113, 614

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 113 is 113

Prime Factorization of 614 is 2 x 307

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(629, 171) = 107559

GCD(629, 171) = ( 629 x 171 ) / 107559

GCD(629, 171) = 107559 / 107559

GCD(629, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 614

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

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

GCD(1, 614) = 614 / 614

GCD(1, 614) = 1

GCD of 629, 171, 113, 614 is 1

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1. What is the GCD of 629, 171, 113, 614?

GCD of 629, 171, 113, 614 is 1

2. Where do I get the detailed procedure to find GCD of 629, 171, 113, 614?

You can find a detailed procedure to find GCD of 629, 171, 113, 614 on our page.

3. How to find GCD of 629, 171, 113, 614 on a calculator?

You can find the GCD of 629, 171, 113, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.