GCD of 766, 528, 894, 500 Calculator

Given Input numbers are 766, 528, 894, 500

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

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 766, 528, 894, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 766, 528, 894, 500 is 2.

Therefore, GCD of numbers 766, 528, 894, 500 is 2

Given Input Data is 766, 528, 894, 500

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

Prime Factorization of 766 is 2 x 383

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(766, 528) = 202224

GCD(766, 528) = ( 766 x 528 ) / 202224

GCD(766, 528) = 404448 / 202224

GCD(766, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 894

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

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

GCD(2, 894) = 1788 / 894

GCD(2, 894) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 500

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

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

GCD(2, 500) = 1000 / 500

GCD(2, 500) = 2

GCD of 766, 528, 894, 500 is 2

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1. What is the GCD of 766, 528, 894, 500?

GCD of 766, 528, 894, 500 is 2

2. Where do I get the detailed procedure to find GCD of 766, 528, 894, 500?

You can find a detailed procedure to find GCD of 766, 528, 894, 500 on our page.

3. How to find GCD of 766, 528, 894, 500 on a calculator?

You can find the GCD of 766, 528, 894, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.