GCD of 700, 683, 828, 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 700, 683, 828, 444 i.e. 1 largest integer that divides all the numbers equally.

GCD of 700, 683, 828, 444 is 1

GCD(700, 683, 828, 444) = 1

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

GCD of

GCD of numbers 700, 683, 828, 444 is 1

GCD(700, 683, 828, 444) = 1

GCD of 700,683,828,444 Calculator

GCDof 700,683,828,444 is 1

Given Input numbers are 700, 683, 828, 444

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 700, 683, 828, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 683, 828, 444 is 1.

Therefore, GCD of numbers 700, 683, 828, 444 is 1

Finding GCD of 700, 683, 828, 444 using Prime Factorization

Given Input Data is 700, 683, 828, 444

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 683 is 683

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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 700, 683, 828, 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(700, 683) = 478100

GCD(700, 683) = ( 700 x 683 ) / 478100

GCD(700, 683) = 478100 / 478100

GCD(700, 683) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 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 700, 683, 828, 444 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 700, 683, 828, 444

1. What is the GCD of 700, 683, 828, 444?

GCD of 700, 683, 828, 444 is 1


2. Where do I get the detailed procedure to find GCD of 700, 683, 828, 444?

You can find a detailed procedure to find GCD of 700, 683, 828, 444 on our page.


3. How to find GCD of 700, 683, 828, 444 on a calculator?

You can find the GCD of 700, 683, 828, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.