GCD of 488, 168, 722, 353 Calculator

Given Input numbers are 488, 168, 722, 353

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 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Greatest Common Divisior

We found the divisors of 488, 168, 722, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 168, 722, 353 is 1.

Therefore, GCD of numbers 488, 168, 722, 353 is 1

Given Input Data is 488, 168, 722, 353

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 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 353 is 353

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, 168) = 10248

GCD(488, 168) = ( 488 x 168 ) / 10248

GCD(488, 168) = 81984 / 10248

GCD(488, 168) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 722

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

LCM(8, 722) = 2888

GCD(8, 722) = ( 8 x 722 ) / 2888

GCD(8, 722) = 5776 / 2888

GCD(8, 722) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 353

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

LCM(2, 353) = 706

GCD(2, 353) = ( 2 x 353 ) / 706

GCD(2, 353) = 706 / 706

GCD(2, 353) = 1

GCD of 488, 168, 722, 353 is 1

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1. What is the GCD of 488, 168, 722, 353?

GCD of 488, 168, 722, 353 is 1

2. Where do I get the detailed procedure to find GCD of 488, 168, 722, 353?

You can find a detailed procedure to find GCD of 488, 168, 722, 353 on our page.

3. How to find GCD of 488, 168, 722, 353 on a calculator?

You can find the GCD of 488, 168, 722, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.