GCD of 852, 220, 25, 720 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, 220, 25, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 852, 220, 25, 720 is 1

GCD(852, 220, 25, 720) = 1

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

GCD of

GCD of numbers 852, 220, 25, 720 is 1

GCD(852, 220, 25, 720) = 1

GCD of 852,220,25,720 Calculator

GCDof 852,220,25,720 is 1

Given Input numbers are 852, 220, 25, 720

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 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 852, 220, 25, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 220, 25, 720 is 1.

Therefore, GCD of numbers 852, 220, 25, 720 is 1

Finding GCD of 852, 220, 25, 720 using Prime Factorization

Given Input Data is 852, 220, 25, 720

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 220 is 2 x 2 x 5 x 11

Prime Factorization of 25 is 5 x 5

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 852, 220, 25, 720 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, 220) = 46860

GCD(852, 220) = ( 852 x 220 ) / 46860

GCD(852, 220) = 187440 / 46860

GCD(852, 220) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 25

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

LCM(4, 25) = 100

GCD(4, 25) = ( 4 x 25 ) / 100

GCD(4, 25) = 100 / 100

GCD(4, 25) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 852, 220, 25, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 852, 220, 25, 720

1. What is the GCD of 852, 220, 25, 720?

GCD of 852, 220, 25, 720 is 1


2. Where do I get the detailed procedure to find GCD of 852, 220, 25, 720?

You can find a detailed procedure to find GCD of 852, 220, 25, 720 on our page.


3. How to find GCD of 852, 220, 25, 720 on a calculator?

You can find the GCD of 852, 220, 25, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.