GCD of 318, 552, 528 Calculator

Given Input numbers are 318, 552, 528

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

Greatest Common Divisior

We found the divisors of 318, 552, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 552, 528 is 6.

Therefore, GCD of numbers 318, 552, 528 is 6

Given Input Data is 318, 552, 528

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

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

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(318, 552) = 29256

GCD(318, 552) = ( 318 x 552 ) / 29256

GCD(318, 552) = 175536 / 29256

GCD(318, 552) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 528

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

LCM(6, 528) = 528

GCD(6, 528) = ( 6 x 528 ) / 528

GCD(6, 528) = 3168 / 528

GCD(6, 528) = 6

GCD of 318, 552, 528 is 6

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1. What is the GCD of 318, 552, 528?

GCD of 318, 552, 528 is 6

2. Where do I get the detailed procedure to find GCD of 318, 552, 528?

You can find a detailed procedure to find GCD of 318, 552, 528 on our page.

3. How to find GCD of 318, 552, 528 on a calculator?

You can find the GCD of 318, 552, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.