GCD of 171, 727, 506, 402 Calculator

Given Input numbers are 171, 727, 506, 402

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 727

List of positive integer divisors of 727 that divides 727 without a remainder.

1, 727

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Greatest Common Divisior

We found the divisors of 171, 727, 506, 402 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 727, 506, 402 is 1.

Therefore, GCD of numbers 171, 727, 506, 402 is 1

Given Input Data is 171, 727, 506, 402

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 727 is 727

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 402 is 2 x 3 x 67

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, 727) = 124317

GCD(171, 727) = ( 171 x 727 ) / 124317

GCD(171, 727) = 124317 / 124317

GCD(171, 727) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 402

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

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

GCD(1, 402) = 402 / 402

GCD(1, 402) = 1

GCD of 171, 727, 506, 402 is 1

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1. What is the GCD of 171, 727, 506, 402?

GCD of 171, 727, 506, 402 is 1

2. Where do I get the detailed procedure to find GCD of 171, 727, 506, 402?

You can find a detailed procedure to find GCD of 171, 727, 506, 402 on our page.

3. How to find GCD of 171, 727, 506, 402 on a calculator?

You can find the GCD of 171, 727, 506, 402 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.