GCD of 915, 471, 518 Calculator

Given Input numbers are 915, 471, 518

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

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 471

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

1, 3, 157, 471

Divisors of 518

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

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

Greatest Common Divisior

We found the divisors of 915, 471, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 915, 471, 518 is 1.

Therefore, GCD of numbers 915, 471, 518 is 1

Given Input Data is 915, 471, 518

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

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 471 is 3 x 157

Prime Factorization of 518 is 2 x 7 x 37

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(915, 471) = 143655

GCD(915, 471) = ( 915 x 471 ) / 143655

GCD(915, 471) = 430965 / 143655

GCD(915, 471) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 518

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

LCM(3, 518) = 1554

GCD(3, 518) = ( 3 x 518 ) / 1554

GCD(3, 518) = 1554 / 1554

GCD(3, 518) = 1

GCD of 915, 471, 518 is 1

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1. What is the GCD of 915, 471, 518?

GCD of 915, 471, 518 is 1

2. Where do I get the detailed procedure to find GCD of 915, 471, 518?

You can find a detailed procedure to find GCD of 915, 471, 518 on our page.

3. How to find GCD of 915, 471, 518 on a calculator?

You can find the GCD of 915, 471, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.