GCD of 722, 948, 793, 444 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 722, 948, 793, 444 i.e. 1 largest integer that divides all the numbers equally.

GCD of 722, 948, 793, 444 is 1

GCD(722, 948, 793, 444) = 1

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

GCD of

GCD of numbers 722, 948, 793, 444 is 1

GCD(722, 948, 793, 444) = 1

GCD of 722,948,793,444 Calculator

GCDof 722,948,793,444 is 1

Given Input numbers are 722, 948, 793, 444

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

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

Greatest Common Divisior

We found the divisors of 722, 948, 793, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 948, 793, 444 is 1.

Therefore, GCD of numbers 722, 948, 793, 444 is 1

Finding GCD of 722, 948, 793, 444 using Prime Factorization

Given Input Data is 722, 948, 793, 444

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 793 is 13 x 61

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

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

Finding GCD of 722, 948, 793, 444 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(722, 948) = 342228

GCD(722, 948) = ( 722 x 948 ) / 342228

GCD(722, 948) = 684456 / 342228

GCD(722, 948) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 793

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

LCM(2, 793) = 1586

GCD(2, 793) = ( 2 x 793 ) / 1586

GCD(2, 793) = 1586 / 1586

GCD(2, 793) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 722, 948, 793, 444 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 722, 948, 793, 444

1. What is the GCD of 722, 948, 793, 444?

GCD of 722, 948, 793, 444 is 1


2. Where do I get the detailed procedure to find GCD of 722, 948, 793, 444?

You can find a detailed procedure to find GCD of 722, 948, 793, 444 on our page.


3. How to find GCD of 722, 948, 793, 444 on a calculator?

You can find the GCD of 722, 948, 793, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.