GCD of 337, 345, 97, 172 Calculator

Given Input numbers are 337, 345, 97, 172

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

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 337, 345, 97, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 345, 97, 172 is 1.

Therefore, GCD of numbers 337, 345, 97, 172 is 1

Given Input Data is 337, 345, 97, 172

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

Prime Factorization of 337 is 337

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 97 is 97

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(337, 345) = 116265

GCD(337, 345) = ( 337 x 345 ) / 116265

GCD(337, 345) = 116265 / 116265

GCD(337, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 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 337, 345, 97, 172 is 1

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1. What is the GCD of 337, 345, 97, 172?

GCD of 337, 345, 97, 172 is 1

2. Where do I get the detailed procedure to find GCD of 337, 345, 97, 172?

You can find a detailed procedure to find GCD of 337, 345, 97, 172 on our page.

3. How to find GCD of 337, 345, 97, 172 on a calculator?

You can find the GCD of 337, 345, 97, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.