GCD of 304, 152, 59, 628 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 304, 152, 59, 628 i.e. 1 largest integer that divides all the numbers equally.

GCD of 304, 152, 59, 628 is 1

GCD(304, 152, 59, 628) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 304, 152, 59, 628 is 1

GCD(304, 152, 59, 628) = 1

GCD of 304,152,59,628 Calculator

GCDof 304,152,59,628 is 1

Given Input numbers are 304, 152, 59, 628

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Greatest Common Divisior

We found the divisors of 304, 152, 59, 628 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 152, 59, 628 is 1.

Therefore, GCD of numbers 304, 152, 59, 628 is 1

Finding GCD of 304, 152, 59, 628 using Prime Factorization

Given Input Data is 304, 152, 59, 628

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 59 is 59

Prime Factorization of 628 is 2 x 2 x 157

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 304, 152, 59, 628 using LCM Formula

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(304, 152) = 304

GCD(304, 152) = ( 304 x 152 ) / 304

GCD(304, 152) = 46208 / 304

GCD(304, 152) = 152


Step2:

Here we consider the GCD from the above i.e. 152 as first number and the next as 59

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

LCM(152, 59) = 8968

GCD(152, 59) = ( 152 x 59 ) / 8968

GCD(152, 59) = 8968 / 8968

GCD(152, 59) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 1

GCD of 304, 152, 59, 628 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 304, 152, 59, 628

1. What is the GCD of 304, 152, 59, 628?

GCD of 304, 152, 59, 628 is 1


2. Where do I get the detailed procedure to find GCD of 304, 152, 59, 628?

You can find a detailed procedure to find GCD of 304, 152, 59, 628 on our page.


3. How to find GCD of 304, 152, 59, 628 on a calculator?

You can find the GCD of 304, 152, 59, 628 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.