GCD of 724, 964, 444, 188 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 724, 964, 444, 188 i.e. 4 largest integer that divides all the numbers equally.

GCD of 724, 964, 444, 188 is 4

GCD(724, 964, 444, 188) = 4

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

GCD of

GCD of numbers 724, 964, 444, 188 is 4

GCD(724, 964, 444, 188) = 4

GCD of 724,964,444,188 Calculator

GCDof 724,964,444,188 is 4

Given Input numbers are 724, 964, 444, 188

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 724, 964, 444, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 964, 444, 188 is 4.

Therefore, GCD of numbers 724, 964, 444, 188 is 4

Finding GCD of 724, 964, 444, 188 using Prime Factorization

Given Input Data is 724, 964, 444, 188

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

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 188 is 2 x 2 x 47

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 724, 964, 444, 188 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(724, 964) = 174484

GCD(724, 964) = ( 724 x 964 ) / 174484

GCD(724, 964) = 697936 / 174484

GCD(724, 964) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 444

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

LCM(4, 444) = 444

GCD(4, 444) = ( 4 x 444 ) / 444

GCD(4, 444) = 1776 / 444

GCD(4, 444) = 4


Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 188

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

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

GCD(4, 188) = 752 / 188

GCD(4, 188) = 4

GCD of 724, 964, 444, 188 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 724, 964, 444, 188

1. What is the GCD of 724, 964, 444, 188?

GCD of 724, 964, 444, 188 is 4


2. Where do I get the detailed procedure to find GCD of 724, 964, 444, 188?

You can find a detailed procedure to find GCD of 724, 964, 444, 188 on our page.


3. How to find GCD of 724, 964, 444, 188 on a calculator?

You can find the GCD of 724, 964, 444, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.