GCD of 678, 763, 29, 318 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 678, 763, 29, 318 i.e. 1 largest integer that divides all the numbers equally.

GCD of 678, 763, 29, 318 is 1

GCD(678, 763, 29, 318) = 1

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

GCD of

GCD of numbers 678, 763, 29, 318 is 1

GCD(678, 763, 29, 318) = 1

GCD of 678,763,29,318 Calculator

GCDof 678,763,29,318 is 1

Given Input numbers are 678, 763, 29, 318

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

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Greatest Common Divisior

We found the divisors of 678, 763, 29, 318 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 763, 29, 318 is 1.

Therefore, GCD of numbers 678, 763, 29, 318 is 1

Finding GCD of 678, 763, 29, 318 using Prime Factorization

Given Input Data is 678, 763, 29, 318

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

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 763 is 7 x 109

Prime Factorization of 29 is 29

Prime Factorization of 318 is 2 x 3 x 53

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

Finding GCD of 678, 763, 29, 318 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(678, 763) = 517314

GCD(678, 763) = ( 678 x 763 ) / 517314

GCD(678, 763) = 517314 / 517314

GCD(678, 763) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 29

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

LCM(1, 29) = 29

GCD(1, 29) = ( 1 x 29 ) / 29

GCD(1, 29) = 29 / 29

GCD(1, 29) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 318

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

LCM(1, 318) = 318

GCD(1, 318) = ( 1 x 318 ) / 318

GCD(1, 318) = 318 / 318

GCD(1, 318) = 1

GCD of 678, 763, 29, 318 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 678, 763, 29, 318

1. What is the GCD of 678, 763, 29, 318?

GCD of 678, 763, 29, 318 is 1


2. Where do I get the detailed procedure to find GCD of 678, 763, 29, 318?

You can find a detailed procedure to find GCD of 678, 763, 29, 318 on our page.


3. How to find GCD of 678, 763, 29, 318 on a calculator?

You can find the GCD of 678, 763, 29, 318 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.