GCD of 517, 172, 12, 950 Calculator

Given Input numbers are 517, 172, 12, 950

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 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 517, 172, 12, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 517, 172, 12, 950 is 1.

Therefore, GCD of numbers 517, 172, 12, 950 is 1

Given Input Data is 517, 172, 12, 950

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

Prime Factorization of 517 is 11 x 47

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 950 is 2 x 5 x 5 x 19

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, 172) = 88924

GCD(517, 172) = ( 517 x 172 ) / 88924

GCD(517, 172) = 88924 / 88924

GCD(517, 172) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 950

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

LCM(1, 950) = 950

GCD(1, 950) = ( 1 x 950 ) / 950

GCD(1, 950) = 950 / 950

GCD(1, 950) = 1

GCD of 517, 172, 12, 950 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 100, 72, 229
• GCD of 906, 192, 82, 194
• GCD of 171, 716, 30, 499
• GCD of 975, 182, 73, 499
• GCD of 485, 454, 47, 694

1. What is the GCD of 517, 172, 12, 950?

GCD of 517, 172, 12, 950 is 1

2. Where do I get the detailed procedure to find GCD of 517, 172, 12, 950?

You can find a detailed procedure to find GCD of 517, 172, 12, 950 on our page.

3. How to find GCD of 517, 172, 12, 950 on a calculator?

You can find the GCD of 517, 172, 12, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.