GCD of 488, 116, 705, 566 Calculator

Given Input numbers are 488, 116, 705, 566

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 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 488, 116, 705, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 116, 705, 566 is 1.

Therefore, GCD of numbers 488, 116, 705, 566 is 1

Given Input Data is 488, 116, 705, 566

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 116 is 2 x 2 x 29

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 566 is 2 x 283

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, 116) = 14152

GCD(488, 116) = ( 488 x 116 ) / 14152

GCD(488, 116) = 56608 / 14152

GCD(488, 116) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 705

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

LCM(4, 705) = 2820

GCD(4, 705) = ( 4 x 705 ) / 2820

GCD(4, 705) = 2820 / 2820

GCD(4, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 488, 116, 705, 566 is 1

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1. What is the GCD of 488, 116, 705, 566?

GCD of 488, 116, 705, 566 is 1

2. Where do I get the detailed procedure to find GCD of 488, 116, 705, 566?

You can find a detailed procedure to find GCD of 488, 116, 705, 566 on our page.

3. How to find GCD of 488, 116, 705, 566 on a calculator?

You can find the GCD of 488, 116, 705, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.