GCD of 517, 571, 994, 172 Calculator

Given Input numbers are 517, 571, 994, 172

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

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

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 517, 571, 994, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 571, 994, 172 is 1.

Therefore, GCD of numbers 517, 571, 994, 172 is 1

Given Input Data is 517, 571, 994, 172

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 571 is 571

Prime Factorization of 994 is 2 x 7 x 71

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(517, 571) = 295207

GCD(517, 571) = ( 517 x 571 ) / 295207

GCD(517, 571) = 295207 / 295207

GCD(517, 571) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 994

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

LCM(1, 994) = 994

GCD(1, 994) = ( 1 x 994 ) / 994

GCD(1, 994) = 994 / 994

GCD(1, 994) = 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 517, 571, 994, 172 is 1

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1. What is the GCD of 517, 571, 994, 172?

GCD of 517, 571, 994, 172 is 1

2. Where do I get the detailed procedure to find GCD of 517, 571, 994, 172?

You can find a detailed procedure to find GCD of 517, 571, 994, 172 on our page.

3. How to find GCD of 517, 571, 994, 172 on a calculator?

You can find the GCD of 517, 571, 994, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.