GCD of 702, 221, 488, 580 Calculator

Given Input numbers are 702, 221, 488, 580

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 702, 221, 488, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 221, 488, 580 is 1.

Therefore, GCD of numbers 702, 221, 488, 580 is 1

Given Input Data is 702, 221, 488, 580

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 221 is 13 x 17

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(702, 221) = 11934

GCD(702, 221) = ( 702 x 221 ) / 11934

GCD(702, 221) = 155142 / 11934

GCD(702, 221) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 488

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

LCM(13, 488) = 6344

GCD(13, 488) = ( 13 x 488 ) / 6344

GCD(13, 488) = 6344 / 6344

GCD(13, 488) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 702, 221, 488, 580 is 1

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1. What is the GCD of 702, 221, 488, 580?

GCD of 702, 221, 488, 580 is 1

2. Where do I get the detailed procedure to find GCD of 702, 221, 488, 580?

You can find a detailed procedure to find GCD of 702, 221, 488, 580 on our page.

3. How to find GCD of 702, 221, 488, 580 on a calculator?

You can find the GCD of 702, 221, 488, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.