GCD of 718, 708, 505 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 718, 708, 505 i.e. 1 largest integer that divides all the numbers equally.

GCD of 718, 708, 505 is 1

GCD(718, 708, 505) = 1

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

GCD of

GCD of numbers 718, 708, 505 is 1

GCD(718, 708, 505) = 1

GCD of 718,708,505 Calculator

GCDof 718,708,505 is 1

Given Input numbers are 718, 708, 505

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 718, 708, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 708, 505 is 1.

Therefore, GCD of numbers 718, 708, 505 is 1

Finding GCD of 718, 708, 505 using Prime Factorization

Given Input Data is 718, 708, 505

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 505 is 5 x 101

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

Finding GCD of 718, 708, 505 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(718, 708) = 254172

GCD(718, 708) = ( 718 x 708 ) / 254172

GCD(718, 708) = 508344 / 254172

GCD(718, 708) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

GCD of 718, 708, 505 is 1

GCD of Numbers Calculation Examples

Here are some samples of GCD of Numbers calculations.

FAQs on GCD of numbers 718, 708, 505

1. What is the GCD of 718, 708, 505?

GCD of 718, 708, 505 is 1

2. Where do I get the detailed procedure to find GCD of 718, 708, 505?

You can find a detailed procedure to find GCD of 718, 708, 505 on our page.

3. How to find GCD of 718, 708, 505 on a calculator?

You can find the GCD of 718, 708, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.