GCD of 264, 315, 477 Calculator

Given Input numbers are 264, 315, 477

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Greatest Common Divisior

We found the divisors of 264, 315, 477 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 315, 477 is 3.

Therefore, GCD of numbers 264, 315, 477 is 3

Given Input Data is 264, 315, 477

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 477 is 3 x 3 x 53

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(264, 315) = 27720

GCD(264, 315) = ( 264 x 315 ) / 27720

GCD(264, 315) = 83160 / 27720

GCD(264, 315) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 477

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

LCM(3, 477) = 477

GCD(3, 477) = ( 3 x 477 ) / 477

GCD(3, 477) = 1431 / 477

GCD(3, 477) = 3

GCD of 264, 315, 477 is 3

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1. What is the GCD of 264, 315, 477?

GCD of 264, 315, 477 is 3

2. Where do I get the detailed procedure to find GCD of 264, 315, 477?

You can find a detailed procedure to find GCD of 264, 315, 477 on our page.

3. How to find GCD of 264, 315, 477 on a calculator?

You can find the GCD of 264, 315, 477 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.