GCD of 324, 528, 471, 783 Calculator

Given Input numbers are 324, 528, 471, 783

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 471

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

1, 3, 157, 471

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 324, 528, 471, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 528, 471, 783 is 3.

Therefore, GCD of numbers 324, 528, 471, 783 is 3

Given Input Data is 324, 528, 471, 783

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 471 is 3 x 157

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(324, 528) = 14256

GCD(324, 528) = ( 324 x 528 ) / 14256

GCD(324, 528) = 171072 / 14256

GCD(324, 528) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 471

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

LCM(12, 471) = 1884

GCD(12, 471) = ( 12 x 471 ) / 1884

GCD(12, 471) = 5652 / 1884

GCD(12, 471) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 783

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

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

GCD(3, 783) = 2349 / 783

GCD(3, 783) = 3

GCD of 324, 528, 471, 783 is 3

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1. What is the GCD of 324, 528, 471, 783?

GCD of 324, 528, 471, 783 is 3

2. Where do I get the detailed procedure to find GCD of 324, 528, 471, 783?

You can find a detailed procedure to find GCD of 324, 528, 471, 783 on our page.

3. How to find GCD of 324, 528, 471, 783 on a calculator?

You can find the GCD of 324, 528, 471, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.