GCD of 171, 508, 457, 973 Calculator

Given Input numbers are 171, 508, 457, 973

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 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 171, 508, 457, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 508, 457, 973 is 1.

Therefore, GCD of numbers 171, 508, 457, 973 is 1

Given Input Data is 171, 508, 457, 973

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 508 is 2 x 2 x 127

Prime Factorization of 457 is 457

Prime Factorization of 973 is 7 x 139

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, 508) = 86868

GCD(171, 508) = ( 171 x 508 ) / 86868

GCD(171, 508) = 86868 / 86868

GCD(171, 508) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 973

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

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

GCD(1, 973) = 973 / 973

GCD(1, 973) = 1

GCD of 171, 508, 457, 973 is 1

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1. What is the GCD of 171, 508, 457, 973?

GCD of 171, 508, 457, 973 is 1

2. Where do I get the detailed procedure to find GCD of 171, 508, 457, 973?

You can find a detailed procedure to find GCD of 171, 508, 457, 973 on our page.

3. How to find GCD of 171, 508, 457, 973 on a calculator?

You can find the GCD of 171, 508, 457, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.