GCD of 152, 568, 72, 353 Calculator

Given Input numbers are 152, 568, 72, 353

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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 152, 568, 72, 353 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 568, 72, 353 is 1.

Therefore, GCD of numbers 152, 568, 72, 353 is 1

Given Input Data is 152, 568, 72, 353

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 568 is 2 x 2 x 2 x 71

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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(152, 568) = 10792

GCD(152, 568) = ( 152 x 568 ) / 10792

GCD(152, 568) = 86336 / 10792

GCD(152, 568) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 72

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

LCM(8, 72) = 72

GCD(8, 72) = ( 8 x 72 ) / 72

GCD(8, 72) = 576 / 72

GCD(8, 72) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 353

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

LCM(8, 353) = 2824

GCD(8, 353) = ( 8 x 353 ) / 2824

GCD(8, 353) = 2824 / 2824

GCD(8, 353) = 1

GCD of 152, 568, 72, 353 is 1

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1. What is the GCD of 152, 568, 72, 353?

GCD of 152, 568, 72, 353 is 1

2. Where do I get the detailed procedure to find GCD of 152, 568, 72, 353?

You can find a detailed procedure to find GCD of 152, 568, 72, 353 on our page.

3. How to find GCD of 152, 568, 72, 353 on a calculator?

You can find the GCD of 152, 568, 72, 353 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.