GCD of 528, 466, 686, 396 Calculator

Given Input numbers are 528, 466, 686, 396

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 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 528, 466, 686, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 466, 686, 396 is 2.

Therefore, GCD of numbers 528, 466, 686, 396 is 2

Given Input Data is 528, 466, 686, 396

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 466 is 2 x 233

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 396 is 2 x 2 x 3 x 3 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, 466) = 123024

GCD(528, 466) = ( 528 x 466 ) / 123024

GCD(528, 466) = 246048 / 123024

GCD(528, 466) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 686

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

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

GCD(2, 686) = 1372 / 686

GCD(2, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 396

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

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

GCD(2, 396) = 792 / 396

GCD(2, 396) = 2

GCD of 528, 466, 686, 396 is 2

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1. What is the GCD of 528, 466, 686, 396?

GCD of 528, 466, 686, 396 is 2

2. Where do I get the detailed procedure to find GCD of 528, 466, 686, 396?

You can find a detailed procedure to find GCD of 528, 466, 686, 396 on our page.

3. How to find GCD of 528, 466, 686, 396 on a calculator?

You can find the GCD of 528, 466, 686, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.