GCD of 171, 353, 646, 119 Calculator

Given Input numbers are 171, 353, 646, 119

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

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 171, 353, 646, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 353, 646, 119 is 1.

Therefore, GCD of numbers 171, 353, 646, 119 is 1

Given Input Data is 171, 353, 646, 119

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

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 353 is 353

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 119 is 7 x 17

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(171, 353) = 60363

GCD(171, 353) = ( 171 x 353 ) / 60363

GCD(171, 353) = 60363 / 60363

GCD(171, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 646

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

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

GCD(1, 646) = 646 / 646

GCD(1, 646) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 171, 353, 646, 119 is 1

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1. What is the GCD of 171, 353, 646, 119?

GCD of 171, 353, 646, 119 is 1

2. Where do I get the detailed procedure to find GCD of 171, 353, 646, 119?

You can find a detailed procedure to find GCD of 171, 353, 646, 119 on our page.

3. How to find GCD of 171, 353, 646, 119 on a calculator?

You can find the GCD of 171, 353, 646, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.