GCD of 826, 630, 665, 724 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 826, 630, 665, 724 i.e. 1 largest integer that divides all the numbers equally.

GCD of 826, 630, 665, 724 is 1

GCD(826, 630, 665, 724) = 1

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

GCD of

GCD of numbers 826, 630, 665, 724 is 1

GCD(826, 630, 665, 724) = 1

GCD of 826,630,665,724 Calculator

GCDof 826,630,665,724 is 1

Given Input numbers are 826, 630, 665, 724

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 724

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

1, 2, 4, 181, 362, 724

Greatest Common Divisior

We found the divisors of 826, 630, 665, 724 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 630, 665, 724 is 1.

Therefore, GCD of numbers 826, 630, 665, 724 is 1

Finding GCD of 826, 630, 665, 724 using Prime Factorization

Given Input Data is 826, 630, 665, 724

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 724 is 2 x 2 x 181

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

Finding GCD of 826, 630, 665, 724 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(826, 630) = 37170

GCD(826, 630) = ( 826 x 630 ) / 37170

GCD(826, 630) = 520380 / 37170

GCD(826, 630) = 14


Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 665

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

LCM(14, 665) = 1330

GCD(14, 665) = ( 14 x 665 ) / 1330

GCD(14, 665) = 9310 / 1330

GCD(14, 665) = 7


Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 724

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

LCM(7, 724) = 5068

GCD(7, 724) = ( 7 x 724 ) / 5068

GCD(7, 724) = 5068 / 5068

GCD(7, 724) = 1

GCD of 826, 630, 665, 724 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 826, 630, 665, 724

1. What is the GCD of 826, 630, 665, 724?

GCD of 826, 630, 665, 724 is 1


2. Where do I get the detailed procedure to find GCD of 826, 630, 665, 724?

You can find a detailed procedure to find GCD of 826, 630, 665, 724 on our page.


3. How to find GCD of 826, 630, 665, 724 on a calculator?

You can find the GCD of 826, 630, 665, 724 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.