GCD of 518, 975, 12, 917 Calculator

Given Input numbers are 518, 975, 12, 917

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 12

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

1, 2, 3, 4, 6, 12

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 518, 975, 12, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 975, 12, 917 is 1.

Therefore, GCD of numbers 518, 975, 12, 917 is 1

Given Input Data is 518, 975, 12, 917

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 917 is 7 x 131

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(518, 975) = 505050

GCD(518, 975) = ( 518 x 975 ) / 505050

GCD(518, 975) = 505050 / 505050

GCD(518, 975) = 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 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 518, 975, 12, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 510, 75, 943
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• GCD of 681, 293, 99, 120

1. What is the GCD of 518, 975, 12, 917?

GCD of 518, 975, 12, 917 is 1

2. Where do I get the detailed procedure to find GCD of 518, 975, 12, 917?

You can find a detailed procedure to find GCD of 518, 975, 12, 917 on our page.

3. How to find GCD of 518, 975, 12, 917 on a calculator?

You can find the GCD of 518, 975, 12, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.