GCD of 172, 902, 71, 471 Calculator

Given Input numbers are 172, 902, 71, 471

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 471

List of positive integer divisors of 471 that divides 471 without a remainder.

1, 3, 157, 471

Greatest Common Divisior

We found the divisors of 172, 902, 71, 471 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 902, 71, 471 is 1.

Therefore, GCD of numbers 172, 902, 71, 471 is 1

Given Input Data is 172, 902, 71, 471

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 902 is 2 x 11 x 41

Prime Factorization of 71 is 71

Prime Factorization of 471 is 3 x 157

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, 902) = 77572

GCD(172, 902) = ( 172 x 902 ) / 77572

GCD(172, 902) = 155144 / 77572

GCD(172, 902) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 71

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

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

GCD(2, 71) = 142 / 142

GCD(2, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 471

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

LCM(1, 471) = 471

GCD(1, 471) = ( 1 x 471 ) / 471

GCD(1, 471) = 471 / 471

GCD(1, 471) = 1

GCD of 172, 902, 71, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 405, 14, 871
• GCD of 809, 336, 40, 452
• GCD of 371, 988, 67, 437
• GCD of 723, 895, 67, 883
• GCD of 686, 853, 67, 645

1. What is the GCD of 172, 902, 71, 471?

GCD of 172, 902, 71, 471 is 1

2. Where do I get the detailed procedure to find GCD of 172, 902, 71, 471?

You can find a detailed procedure to find GCD of 172, 902, 71, 471 on our page.

3. How to find GCD of 172, 902, 71, 471 on a calculator?

You can find the GCD of 172, 902, 71, 471 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.