GCD of 967, 405, 33, 316 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 967, 405, 33, 316 i.e. 1 largest integer that divides all the numbers equally.

GCD of 967, 405, 33, 316 is 1

GCD(967, 405, 33, 316) = 1

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

GCD of

GCD of numbers 967, 405, 33, 316 is 1

GCD(967, 405, 33, 316) = 1

GCD of 967,405,33,316 Calculator

GCDof 967,405,33,316 is 1

Given Input numbers are 967, 405, 33, 316

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Greatest Common Divisior

We found the divisors of 967, 405, 33, 316 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 405, 33, 316 is 1.

Therefore, GCD of numbers 967, 405, 33, 316 is 1

Finding GCD of 967, 405, 33, 316 using Prime Factorization

Given Input Data is 967, 405, 33, 316

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

Prime Factorization of 967 is 967

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 33 is 3 x 11

Prime Factorization of 316 is 2 x 2 x 79

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

Finding GCD of 967, 405, 33, 316 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(967, 405) = 391635

GCD(967, 405) = ( 967 x 405 ) / 391635

GCD(967, 405) = 391635 / 391635

GCD(967, 405) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

GCD of 967, 405, 33, 316 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 967, 405, 33, 316

1. What is the GCD of 967, 405, 33, 316?

GCD of 967, 405, 33, 316 is 1


2. Where do I get the detailed procedure to find GCD of 967, 405, 33, 316?

You can find a detailed procedure to find GCD of 967, 405, 33, 316 on our page.


3. How to find GCD of 967, 405, 33, 316 on a calculator?

You can find the GCD of 967, 405, 33, 316 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.