GCD of 355, 562, 460 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 355, 562, 460 i.e. 1 largest integer that divides all the numbers equally.

GCD of 355, 562, 460 is 1

GCD(355, 562, 460) = 1

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

GCD of

GCD of numbers 355, 562, 460 is 1

GCD(355, 562, 460) = 1

GCD of 355,562,460 Calculator

GCDof 355,562,460 is 1

Given Input numbers are 355, 562, 460

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

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

Greatest Common Divisior

We found the divisors of 355, 562, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 562, 460 is 1.

Therefore, GCD of numbers 355, 562, 460 is 1

Finding GCD of 355, 562, 460 using Prime Factorization

Given Input Data is 355, 562, 460

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 562 is 2 x 281

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

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

Finding GCD of 355, 562, 460 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(355, 562) = 199510

GCD(355, 562) = ( 355 x 562 ) / 199510

GCD(355, 562) = 199510 / 199510

GCD(355, 562) = 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

GCD of 355, 562, 460 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 355, 562, 460

1. What is the GCD of 355, 562, 460?

GCD of 355, 562, 460 is 1


2. Where do I get the detailed procedure to find GCD of 355, 562, 460?

You can find a detailed procedure to find GCD of 355, 562, 460 on our page.


3. How to find GCD of 355, 562, 460 on a calculator?

You can find the GCD of 355, 562, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.