GCD of 369, 404, 77 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 369, 404, 77 i.e. 1 largest integer that divides all the numbers equally.

GCD of 369, 404, 77 is 1

GCD(369, 404, 77) = 1

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

GCD of

GCD of numbers 369, 404, 77 is 1

GCD(369, 404, 77) = 1

GCD of 369,404,77 Calculator

GCDof 369,404,77 is 1

Given Input numbers are 369, 404, 77

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Greatest Common Divisior

We found the divisors of 369, 404, 77 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 404, 77 is 1.

Therefore, GCD of numbers 369, 404, 77 is 1

Finding GCD of 369, 404, 77 using Prime Factorization

Given Input Data is 369, 404, 77

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 77 is 7 x 11

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

Finding GCD of 369, 404, 77 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(369, 404) = 149076

GCD(369, 404) = ( 369 x 404 ) / 149076

GCD(369, 404) = 149076 / 149076

GCD(369, 404) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

GCD of 369, 404, 77 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 369, 404, 77

1. What is the GCD of 369, 404, 77?

GCD of 369, 404, 77 is 1


2. Where do I get the detailed procedure to find GCD of 369, 404, 77?

You can find a detailed procedure to find GCD of 369, 404, 77 on our page.


3. How to find GCD of 369, 404, 77 on a calculator?

You can find the GCD of 369, 404, 77 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.