GCD of 488, 532, 652, 663 Calculator

Given Input numbers are 488, 532, 652, 663

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 663

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

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

Greatest Common Divisior

We found the divisors of 488, 532, 652, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 532, 652, 663 is 1.

Therefore, GCD of numbers 488, 532, 652, 663 is 1

Given Input Data is 488, 532, 652, 663

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 663 is 3 x 13 x 17

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(488, 532) = 64904

GCD(488, 532) = ( 488 x 532 ) / 64904

GCD(488, 532) = 259616 / 64904

GCD(488, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 652

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

LCM(4, 652) = 652

GCD(4, 652) = ( 4 x 652 ) / 652

GCD(4, 652) = 2608 / 652

GCD(4, 652) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 663

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

LCM(4, 663) = 2652

GCD(4, 663) = ( 4 x 663 ) / 2652

GCD(4, 663) = 2652 / 2652

GCD(4, 663) = 1

GCD of 488, 532, 652, 663 is 1

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1. What is the GCD of 488, 532, 652, 663?

GCD of 488, 532, 652, 663 is 1

2. Where do I get the detailed procedure to find GCD of 488, 532, 652, 663?

You can find a detailed procedure to find GCD of 488, 532, 652, 663 on our page.

3. How to find GCD of 488, 532, 652, 663 on a calculator?

You can find the GCD of 488, 532, 652, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.