GCD of 852, 215, 22, 752 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, 215, 22, 752 i.e. 1 largest integer that divides all the numbers equally.

GCD of 852, 215, 22, 752 is 1

GCD(852, 215, 22, 752) = 1

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

GCD of

GCD of numbers 852, 215, 22, 752 is 1

GCD(852, 215, 22, 752) = 1

GCD of 852,215,22,752 Calculator

GCDof 852,215,22,752 is 1

Given Input numbers are 852, 215, 22, 752

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Greatest Common Divisior

We found the divisors of 852, 215, 22, 752 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 215, 22, 752 is 1.

Therefore, GCD of numbers 852, 215, 22, 752 is 1

Finding GCD of 852, 215, 22, 752 using Prime Factorization

Given Input Data is 852, 215, 22, 752

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 215 is 5 x 43

Prime Factorization of 22 is 2 x 11

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

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

Finding GCD of 852, 215, 22, 752 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, 215) = 183180

GCD(852, 215) = ( 852 x 215 ) / 183180

GCD(852, 215) = 183180 / 183180

GCD(852, 215) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

GCD of 852, 215, 22, 752 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 852, 215, 22, 752

1. What is the GCD of 852, 215, 22, 752?

GCD of 852, 215, 22, 752 is 1


2. Where do I get the detailed procedure to find GCD of 852, 215, 22, 752?

You can find a detailed procedure to find GCD of 852, 215, 22, 752 on our page.


3. How to find GCD of 852, 215, 22, 752 on a calculator?

You can find the GCD of 852, 215, 22, 752 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.