GCD of 469, 413, 65, 802 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 469, 413, 65, 802 i.e. 1 largest integer that divides all the numbers equally.

GCD of 469, 413, 65, 802 is 1

GCD(469, 413, 65, 802) = 1

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

GCD of

GCD of numbers 469, 413, 65, 802 is 1

GCD(469, 413, 65, 802) = 1

GCD of 469,413,65,802 Calculator

GCDof 469,413,65,802 is 1

Given Input numbers are 469, 413, 65, 802

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

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 469, 413, 65, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 469, 413, 65, 802 is 1.

Therefore, GCD of numbers 469, 413, 65, 802 is 1

Finding GCD of 469, 413, 65, 802 using Prime Factorization

Given Input Data is 469, 413, 65, 802

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

Prime Factorization of 469 is 7 x 67

Prime Factorization of 413 is 7 x 59

Prime Factorization of 65 is 5 x 13

Prime Factorization of 802 is 2 x 401

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

Finding GCD of 469, 413, 65, 802 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(469, 413) = 27671

GCD(469, 413) = ( 469 x 413 ) / 27671

GCD(469, 413) = 193697 / 27671

GCD(469, 413) = 7


Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 65

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

LCM(7, 65) = 455

GCD(7, 65) = ( 7 x 65 ) / 455

GCD(7, 65) = 455 / 455

GCD(7, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 469, 413, 65, 802 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 469, 413, 65, 802

1. What is the GCD of 469, 413, 65, 802?

GCD of 469, 413, 65, 802 is 1


2. Where do I get the detailed procedure to find GCD of 469, 413, 65, 802?

You can find a detailed procedure to find GCD of 469, 413, 65, 802 on our page.


3. How to find GCD of 469, 413, 65, 802 on a calculator?

You can find the GCD of 469, 413, 65, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.