GCD of 984, 104, 679, 435 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 984, 104, 679, 435 i.e. 1 largest integer that divides all the numbers equally.

GCD of 984, 104, 679, 435 is 1

GCD(984, 104, 679, 435) = 1

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

GCD of

GCD of numbers 984, 104, 679, 435 is 1

GCD(984, 104, 679, 435) = 1

GCD of 984,104,679,435 Calculator

GCDof 984,104,679,435 is 1

Given Input numbers are 984, 104, 679, 435

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 435

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

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

Greatest Common Divisior

We found the divisors of 984, 104, 679, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 104, 679, 435 is 1.

Therefore, GCD of numbers 984, 104, 679, 435 is 1

Finding GCD of 984, 104, 679, 435 using Prime Factorization

Given Input Data is 984, 104, 679, 435

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 679 is 7 x 97

Prime Factorization of 435 is 3 x 5 x 29

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

Finding GCD of 984, 104, 679, 435 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(984, 104) = 12792

GCD(984, 104) = ( 984 x 104 ) / 12792

GCD(984, 104) = 102336 / 12792

GCD(984, 104) = 8


Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 679

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

LCM(8, 679) = 5432

GCD(8, 679) = ( 8 x 679 ) / 5432

GCD(8, 679) = 5432 / 5432

GCD(8, 679) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 435

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

LCM(1, 435) = 435

GCD(1, 435) = ( 1 x 435 ) / 435

GCD(1, 435) = 435 / 435

GCD(1, 435) = 1

GCD of 984, 104, 679, 435 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 984, 104, 679, 435

1. What is the GCD of 984, 104, 679, 435?

GCD of 984, 104, 679, 435 is 1


2. Where do I get the detailed procedure to find GCD of 984, 104, 679, 435?

You can find a detailed procedure to find GCD of 984, 104, 679, 435 on our page.


3. How to find GCD of 984, 104, 679, 435 on a calculator?

You can find the GCD of 984, 104, 679, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.