GCD of 38, 308, 577, 528 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 38, 308, 577, 528 i.e. 1 largest integer that divides all the numbers equally.

GCD of 38, 308, 577, 528 is 1

GCD(38, 308, 577, 528) = 1

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

GCD of

GCD of numbers 38, 308, 577, 528 is 1

GCD(38, 308, 577, 528) = 1

GCD of 38,308,577,528 Calculator

GCDof 38,308,577,528 is 1

Given Input numbers are 38, 308, 577, 528

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Greatest Common Divisior

We found the divisors of 38, 308, 577, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 308, 577, 528 is 1.

Therefore, GCD of numbers 38, 308, 577, 528 is 1

Finding GCD of 38, 308, 577, 528 using Prime Factorization

Given Input Data is 38, 308, 577, 528

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 577 is 577

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

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

Finding GCD of 38, 308, 577, 528 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(38, 308) = 5852

GCD(38, 308) = ( 38 x 308 ) / 5852

GCD(38, 308) = 11704 / 5852

GCD(38, 308) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 577

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

LCM(2, 577) = 1154

GCD(2, 577) = ( 2 x 577 ) / 1154

GCD(2, 577) = 1154 / 1154

GCD(2, 577) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 528

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

LCM(1, 528) = 528

GCD(1, 528) = ( 1 x 528 ) / 528

GCD(1, 528) = 528 / 528

GCD(1, 528) = 1

GCD of 38, 308, 577, 528 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 38, 308, 577, 528

1. What is the GCD of 38, 308, 577, 528?

GCD of 38, 308, 577, 528 is 1


2. Where do I get the detailed procedure to find GCD of 38, 308, 577, 528?

You can find a detailed procedure to find GCD of 38, 308, 577, 528 on our page.


3. How to find GCD of 38, 308, 577, 528 on a calculator?

You can find the GCD of 38, 308, 577, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.