GCD of 197, 171, 456, 320 Calculator

Given Input numbers are 197, 171, 456, 320

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

Divisors of 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Divisors of 171

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

1, 3, 9, 19, 57, 171

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 197, 171, 456, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 197, 171, 456, 320 is 1.

Therefore, GCD of numbers 197, 171, 456, 320 is 1

Given Input Data is 197, 171, 456, 320

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

Prime Factorization of 197 is 197

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(197, 171) = 33687

GCD(197, 171) = ( 197 x 171 ) / 33687

GCD(197, 171) = 33687 / 33687

GCD(197, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 197, 171, 456, 320 is 1

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1. What is the GCD of 197, 171, 456, 320?

GCD of 197, 171, 456, 320 is 1

2. Where do I get the detailed procedure to find GCD of 197, 171, 456, 320?

You can find a detailed procedure to find GCD of 197, 171, 456, 320 on our page.

3. How to find GCD of 197, 171, 456, 320 on a calculator?

You can find the GCD of 197, 171, 456, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.