GCD of 462, 435, 323, 160 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 462, 435, 323, 160 i.e. 1 largest integer that divides all the numbers equally.

GCD of 462, 435, 323, 160 is 1

GCD(462, 435, 323, 160) = 1

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

GCD of

GCD of numbers 462, 435, 323, 160 is 1

GCD(462, 435, 323, 160) = 1

GCD of 462,435,323,160 Calculator

GCDof 462,435,323,160 is 1

Given Input numbers are 462, 435, 323, 160

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 160

List of positive integer divisors of 160 that divides 160 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Greatest Common Divisior

We found the divisors of 462, 435, 323, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 435, 323, 160 is 1.

Therefore, GCD of numbers 462, 435, 323, 160 is 1

Finding GCD of 462, 435, 323, 160 using Prime Factorization

Given Input Data is 462, 435, 323, 160

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 323 is 17 x 19

Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5

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

Finding GCD of 462, 435, 323, 160 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(462, 435) = 66990

GCD(462, 435) = ( 462 x 435 ) / 66990

GCD(462, 435) = 200970 / 66990

GCD(462, 435) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 323

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

LCM(3, 323) = 969

GCD(3, 323) = ( 3 x 323 ) / 969

GCD(3, 323) = 969 / 969

GCD(3, 323) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 160

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

LCM(1, 160) = 160

GCD(1, 160) = ( 1 x 160 ) / 160

GCD(1, 160) = 160 / 160

GCD(1, 160) = 1

GCD of 462, 435, 323, 160 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 462, 435, 323, 160

1. What is the GCD of 462, 435, 323, 160?

GCD of 462, 435, 323, 160 is 1


2. Where do I get the detailed procedure to find GCD of 462, 435, 323, 160?

You can find a detailed procedure to find GCD of 462, 435, 323, 160 on our page.


3. How to find GCD of 462, 435, 323, 160 on a calculator?

You can find the GCD of 462, 435, 323, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.