GCD of 264, 409, 350 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 264, 409, 350 i.e. 1 largest integer that divides all the numbers equally.

GCD of 264, 409, 350 is 1

GCD(264, 409, 350) = 1

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

GCD of

GCD of numbers 264, 409, 350 is 1

GCD(264, 409, 350) = 1

GCD of 264,409,350 Calculator

GCDof 264,409,350 is 1

Given Input numbers are 264, 409, 350

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

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 264, 409, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 409, 350 is 1.

Therefore, GCD of numbers 264, 409, 350 is 1

Finding GCD of 264, 409, 350 using Prime Factorization

Given Input Data is 264, 409, 350

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

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 409 is 409

Prime Factorization of 350 is 2 x 5 x 5 x 7

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

Finding GCD of 264, 409, 350 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(264, 409) = 107976

GCD(264, 409) = ( 264 x 409 ) / 107976

GCD(264, 409) = 107976 / 107976

GCD(264, 409) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 264, 409, 350 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 264, 409, 350

1. What is the GCD of 264, 409, 350?

GCD of 264, 409, 350 is 1


2. Where do I get the detailed procedure to find GCD of 264, 409, 350?

You can find a detailed procedure to find GCD of 264, 409, 350 on our page.


3. How to find GCD of 264, 409, 350 on a calculator?

You can find the GCD of 264, 409, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.