GCD of 463, 286, 109, 915 Calculator

Given Input numbers are 463, 286, 109, 915

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 915

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

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

Greatest Common Divisior

We found the divisors of 463, 286, 109, 915 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 286, 109, 915 is 1.

Therefore, GCD of numbers 463, 286, 109, 915 is 1

Given Input Data is 463, 286, 109, 915

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

Prime Factorization of 463 is 463

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 109 is 109

Prime Factorization of 915 is 3 x 5 x 61

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(463, 286) = 132418

GCD(463, 286) = ( 463 x 286 ) / 132418

GCD(463, 286) = 132418 / 132418

GCD(463, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 915

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

LCM(1, 915) = 915

GCD(1, 915) = ( 1 x 915 ) / 915

GCD(1, 915) = 915 / 915

GCD(1, 915) = 1

GCD of 463, 286, 109, 915 is 1

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1. What is the GCD of 463, 286, 109, 915?

GCD of 463, 286, 109, 915 is 1

2. Where do I get the detailed procedure to find GCD of 463, 286, 109, 915?

You can find a detailed procedure to find GCD of 463, 286, 109, 915 on our page.

3. How to find GCD of 463, 286, 109, 915 on a calculator?

You can find the GCD of 463, 286, 109, 915 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.