GCD of 474, 915, 363 Calculator

Given Input numbers are 474, 915, 363

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 474, 915, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 915, 363 is 3.

Therefore, GCD of numbers 474, 915, 363 is 3

Given Input Data is 474, 915, 363

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 363 is 3 x 11 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(474, 915) = 144570

GCD(474, 915) = ( 474 x 915 ) / 144570

GCD(474, 915) = 433710 / 144570

GCD(474, 915) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 363

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

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

GCD(3, 363) = 1089 / 363

GCD(3, 363) = 3

GCD of 474, 915, 363 is 3

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1. What is the GCD of 474, 915, 363?

GCD of 474, 915, 363 is 3

2. Where do I get the detailed procedure to find GCD of 474, 915, 363?

You can find a detailed procedure to find GCD of 474, 915, 363 on our page.

3. How to find GCD of 474, 915, 363 on a calculator?

You can find the GCD of 474, 915, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.