GCD of 528, 232, 926, 330 Calculator

Given Input numbers are 528, 232, 926, 330

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 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 330

List of positive integer divisors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Greatest Common Divisior

We found the divisors of 528, 232, 926, 330 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 232, 926, 330 is 2.

Therefore, GCD of numbers 528, 232, 926, 330 is 2

Given Input Data is 528, 232, 926, 330

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 232 is 2 x 2 x 2 x 29

Prime Factorization of 926 is 2 x 463

Prime Factorization of 330 is 2 x 3 x 5 x 11

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(528, 232) = 15312

GCD(528, 232) = ( 528 x 232 ) / 15312

GCD(528, 232) = 122496 / 15312

GCD(528, 232) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 926

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

LCM(8, 926) = 3704

GCD(8, 926) = ( 8 x 926 ) / 3704

GCD(8, 926) = 7408 / 3704

GCD(8, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 330

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

LCM(2, 330) = 330

GCD(2, 330) = ( 2 x 330 ) / 330

GCD(2, 330) = 660 / 330

GCD(2, 330) = 2

GCD of 528, 232, 926, 330 is 2

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1. What is the GCD of 528, 232, 926, 330?

GCD of 528, 232, 926, 330 is 2

2. Where do I get the detailed procedure to find GCD of 528, 232, 926, 330?

You can find a detailed procedure to find GCD of 528, 232, 926, 330 on our page.

3. How to find GCD of 528, 232, 926, 330 on a calculator?

You can find the GCD of 528, 232, 926, 330 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.