GCD of 353, 129, 997, 172 Calculator

Given Input numbers are 353, 129, 997, 172

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

Divisors of 353

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

1, 353

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 353, 129, 997, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 129, 997, 172 is 1.

Therefore, GCD of numbers 353, 129, 997, 172 is 1

Given Input Data is 353, 129, 997, 172

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

Prime Factorization of 353 is 353

Prime Factorization of 129 is 3 x 43

Prime Factorization of 997 is 997

Prime Factorization of 172 is 2 x 2 x 43

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(353, 129) = 45537

GCD(353, 129) = ( 353 x 129 ) / 45537

GCD(353, 129) = 45537 / 45537

GCD(353, 129) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 353, 129, 997, 172 is 1

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1. What is the GCD of 353, 129, 997, 172?

GCD of 353, 129, 997, 172 is 1

2. Where do I get the detailed procedure to find GCD of 353, 129, 997, 172?

You can find a detailed procedure to find GCD of 353, 129, 997, 172 on our page.

3. How to find GCD of 353, 129, 997, 172 on a calculator?

You can find the GCD of 353, 129, 997, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.