GCD of 852, 653, 38 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 852, 653, 38 i.e. 1 largest integer that divides all the numbers equally.

GCD of 852, 653, 38 is 1

GCD(852, 653, 38) = 1

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

GCD of

GCD of numbers 852, 653, 38 is 1

GCD(852, 653, 38) = 1

GCD of 852,653,38 Calculator

GCDof 852,653,38 is 1

Given Input numbers are 852, 653, 38

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 38

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

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 852, 653, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 653, 38 is 1.

Therefore, GCD of numbers 852, 653, 38 is 1

Finding GCD of 852, 653, 38 using Prime Factorization

Given Input Data is 852, 653, 38

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 653 is 653

Prime Factorization of 38 is 2 x 19

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

Finding GCD of 852, 653, 38 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(852, 653) = 556356

GCD(852, 653) = ( 852 x 653 ) / 556356

GCD(852, 653) = 556356 / 556356

GCD(852, 653) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 852, 653, 38 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 852, 653, 38

1. What is the GCD of 852, 653, 38?

GCD of 852, 653, 38 is 1


2. Where do I get the detailed procedure to find GCD of 852, 653, 38?

You can find a detailed procedure to find GCD of 852, 653, 38 on our page.


3. How to find GCD of 852, 653, 38 on a calculator?

You can find the GCD of 852, 653, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.