GCD of 819, 876, 249, 528 Calculator

Given Input numbers are 819, 876, 249, 528

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

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 819, 876, 249, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 876, 249, 528 is 3.

Therefore, GCD of numbers 819, 876, 249, 528 is 3

Given Input Data is 819, 876, 249, 528

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 249 is 3 x 83

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(819, 876) = 239148

GCD(819, 876) = ( 819 x 876 ) / 239148

GCD(819, 876) = 717444 / 239148

GCD(819, 876) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 249

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

LCM(3, 249) = 249

GCD(3, 249) = ( 3 x 249 ) / 249

GCD(3, 249) = 747 / 249

GCD(3, 249) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 528

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

LCM(3, 528) = 528

GCD(3, 528) = ( 3 x 528 ) / 528

GCD(3, 528) = 1584 / 528

GCD(3, 528) = 3

GCD of 819, 876, 249, 528 is 3

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1. What is the GCD of 819, 876, 249, 528?

GCD of 819, 876, 249, 528 is 3

2. Where do I get the detailed procedure to find GCD of 819, 876, 249, 528?

You can find a detailed procedure to find GCD of 819, 876, 249, 528 on our page.

3. How to find GCD of 819, 876, 249, 528 on a calculator?

You can find the GCD of 819, 876, 249, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.