GCD of 172, 352, 805, 727 Calculator

Given Input numbers are 172, 352, 805, 727

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 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 727

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

1, 727

Greatest Common Divisior

We found the divisors of 172, 352, 805, 727 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 352, 805, 727 is 1.

Therefore, GCD of numbers 172, 352, 805, 727 is 1

Given Input Data is 172, 352, 805, 727

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 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 727 is 727

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, 352) = 15136

GCD(172, 352) = ( 172 x 352 ) / 15136

GCD(172, 352) = 60544 / 15136

GCD(172, 352) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 805

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

LCM(4, 805) = 3220

GCD(4, 805) = ( 4 x 805 ) / 3220

GCD(4, 805) = 3220 / 3220

GCD(4, 805) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 727

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

LCM(1, 727) = 727

GCD(1, 727) = ( 1 x 727 ) / 727

GCD(1, 727) = 727 / 727

GCD(1, 727) = 1

GCD of 172, 352, 805, 727 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 808, 161, 642
• GCD of 155, 953, 731, 860
• GCD of 337, 213, 745, 174
• GCD of 885, 772, 114, 287
• GCD of 431, 651, 720, 750

1. What is the GCD of 172, 352, 805, 727?

GCD of 172, 352, 805, 727 is 1

2. Where do I get the detailed procedure to find GCD of 172, 352, 805, 727?

You can find a detailed procedure to find GCD of 172, 352, 805, 727 on our page.

3. How to find GCD of 172, 352, 805, 727 on a calculator?

You can find the GCD of 172, 352, 805, 727 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.