GCD of 172, 337, 445, 454 Calculator

Given Input numbers are 172, 337, 445, 454

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

Divisors of 172

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

1, 2, 4, 43, 86, 172

Divisors of 337

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

1, 337

Divisors of 445

List of positive integer divisors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 172, 337, 445, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 337, 445, 454 is 1.

Therefore, GCD of numbers 172, 337, 445, 454 is 1

Given Input Data is 172, 337, 445, 454

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

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 337 is 337

Prime Factorization of 445 is 5 x 89

Prime Factorization of 454 is 2 x 227

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(172, 337) = 57964

GCD(172, 337) = ( 172 x 337 ) / 57964

GCD(172, 337) = 57964 / 57964

GCD(172, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 445

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

LCM(1, 445) = 445

GCD(1, 445) = ( 1 x 445 ) / 445

GCD(1, 445) = 445 / 445

GCD(1, 445) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

GCD of 172, 337, 445, 454 is 1

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1. What is the GCD of 172, 337, 445, 454?

GCD of 172, 337, 445, 454 is 1

2. Where do I get the detailed procedure to find GCD of 172, 337, 445, 454?

You can find a detailed procedure to find GCD of 172, 337, 445, 454 on our page.

3. How to find GCD of 172, 337, 445, 454 on a calculator?

You can find the GCD of 172, 337, 445, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.