GCD of 390, 706, 663, 528 Calculator

Given Input numbers are 390, 706, 663, 528

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

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

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 390, 706, 663, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 706, 663, 528 is 1.

Therefore, GCD of numbers 390, 706, 663, 528 is 1

Given Input Data is 390, 706, 663, 528

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

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 706 is 2 x 353

Prime Factorization of 663 is 3 x 13 x 17

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

The above numbers do not have any common prime factor. So GCD is 1

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(390, 706) = 137670

GCD(390, 706) = ( 390 x 706 ) / 137670

GCD(390, 706) = 275340 / 137670

GCD(390, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 663

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

LCM(2, 663) = 1326

GCD(2, 663) = ( 2 x 663 ) / 1326

GCD(2, 663) = 1326 / 1326

GCD(2, 663) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 390, 706, 663, 528 is 1

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1. What is the GCD of 390, 706, 663, 528?

GCD of 390, 706, 663, 528 is 1

2. Where do I get the detailed procedure to find GCD of 390, 706, 663, 528?

You can find a detailed procedure to find GCD of 390, 706, 663, 528 on our page.

3. How to find GCD of 390, 706, 663, 528 on a calculator?

You can find the GCD of 390, 706, 663, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.