GCD of 905, 775, 586, 172 Calculator

Given Input numbers are 905, 775, 586, 172

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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 905, 775, 586, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 775, 586, 172 is 1.

Therefore, GCD of numbers 905, 775, 586, 172 is 1

Given Input Data is 905, 775, 586, 172

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

Prime Factorization of 905 is 5 x 181

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 586 is 2 x 293

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(905, 775) = 140275

GCD(905, 775) = ( 905 x 775 ) / 140275

GCD(905, 775) = 701375 / 140275

GCD(905, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 586

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

LCM(5, 586) = 2930

GCD(5, 586) = ( 5 x 586 ) / 2930

GCD(5, 586) = 2930 / 2930

GCD(5, 586) = 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 905, 775, 586, 172 is 1

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1. What is the GCD of 905, 775, 586, 172?

GCD of 905, 775, 586, 172 is 1

2. Where do I get the detailed procedure to find GCD of 905, 775, 586, 172?

You can find a detailed procedure to find GCD of 905, 775, 586, 172 on our page.

3. How to find GCD of 905, 775, 586, 172 on a calculator?

You can find the GCD of 905, 775, 586, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.