GCD of 472, 520, 99, 415 Calculator

Given Input numbers are 472, 520, 99, 415

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

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 472, 520, 99, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 520, 99, 415 is 1.

Therefore, GCD of numbers 472, 520, 99, 415 is 1

Given Input Data is 472, 520, 99, 415

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

Prime Factorization of 472 is 2 x 2 x 2 x 59

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 415 is 5 x 83

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(472, 520) = 30680

GCD(472, 520) = ( 472 x 520 ) / 30680

GCD(472, 520) = 245440 / 30680

GCD(472, 520) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 99

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

LCM(8, 99) = 792

GCD(8, 99) = ( 8 x 99 ) / 792

GCD(8, 99) = 792 / 792

GCD(8, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 472, 520, 99, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 236, 61, 402
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• GCD of 802, 918, 81, 615
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• GCD of 466, 488, 42, 513

1. What is the GCD of 472, 520, 99, 415?

GCD of 472, 520, 99, 415 is 1

2. Where do I get the detailed procedure to find GCD of 472, 520, 99, 415?

You can find a detailed procedure to find GCD of 472, 520, 99, 415 on our page.

3. How to find GCD of 472, 520, 99, 415 on a calculator?

You can find the GCD of 472, 520, 99, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.