GCD of 826, 437, 460, 355 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, 437, 460, 355 i.e. 1 largest integer that divides all the numbers equally.

GCD of 826, 437, 460, 355 is 1

GCD(826, 437, 460, 355) = 1

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

GCD of

GCD of numbers 826, 437, 460, 355 is 1

GCD(826, 437, 460, 355) = 1

GCD of 826,437,460,355 Calculator

GCDof 826,437,460,355 is 1

Given Input numbers are 826, 437, 460, 355

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 826, 437, 460, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 437, 460, 355 is 1.

Therefore, GCD of numbers 826, 437, 460, 355 is 1

Finding GCD of 826, 437, 460, 355 using Prime Factorization

Given Input Data is 826, 437, 460, 355

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 437 is 19 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 355 is 5 x 71

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

Finding GCD of 826, 437, 460, 355 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, 437) = 360962

GCD(826, 437) = ( 826 x 437 ) / 360962

GCD(826, 437) = 360962 / 360962

GCD(826, 437) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 826, 437, 460, 355 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 826, 437, 460, 355

1. What is the GCD of 826, 437, 460, 355?

GCD of 826, 437, 460, 355 is 1


2. Where do I get the detailed procedure to find GCD of 826, 437, 460, 355?

You can find a detailed procedure to find GCD of 826, 437, 460, 355 on our page.


3. How to find GCD of 826, 437, 460, 355 on a calculator?

You can find the GCD of 826, 437, 460, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.