GCD of 528, 264, 597, 516 Calculator

Given Input numbers are 528, 264, 597, 516

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

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 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 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 528, 264, 597, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 264, 597, 516 is 3.

Therefore, GCD of numbers 528, 264, 597, 516 is 3

Given Input Data is 528, 264, 597, 516

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

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

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(528, 264) = 528

GCD(528, 264) = ( 528 x 264 ) / 528

GCD(528, 264) = 139392 / 528

GCD(528, 264) = 264

Step2:

Here we consider the GCD from the above i.e. 264 as first number and the next as 597

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

LCM(264, 597) = 52536

GCD(264, 597) = ( 264 x 597 ) / 52536

GCD(264, 597) = 157608 / 52536

GCD(264, 597) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

GCD of 528, 264, 597, 516 is 3

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1. What is the GCD of 528, 264, 597, 516?

GCD of 528, 264, 597, 516 is 3

2. Where do I get the detailed procedure to find GCD of 528, 264, 597, 516?

You can find a detailed procedure to find GCD of 528, 264, 597, 516 on our page.

3. How to find GCD of 528, 264, 597, 516 on a calculator?

You can find the GCD of 528, 264, 597, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.