GCD of 870, 718, 691, 720 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 870, 718, 691, 720 i.e. 1 largest integer that divides all the numbers equally.

GCD of 870, 718, 691, 720 is 1

GCD(870, 718, 691, 720) = 1

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

GCD of

GCD of numbers 870, 718, 691, 720 is 1

GCD(870, 718, 691, 720) = 1

GCD of 870,718,691,720 Calculator

GCDof 870,718,691,720 is 1

Given Input numbers are 870, 718, 691, 720

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 718

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

1, 2, 359, 718

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 870, 718, 691, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 718, 691, 720 is 1.

Therefore, GCD of numbers 870, 718, 691, 720 is 1

Finding GCD of 870, 718, 691, 720 using Prime Factorization

Given Input Data is 870, 718, 691, 720

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 718 is 2 x 359

Prime Factorization of 691 is 691

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Finding GCD of 870, 718, 691, 720 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(870, 718) = 312330

GCD(870, 718) = ( 870 x 718 ) / 312330

GCD(870, 718) = 624660 / 312330

GCD(870, 718) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 870, 718, 691, 720 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 870, 718, 691, 720

1. What is the GCD of 870, 718, 691, 720?

GCD of 870, 718, 691, 720 is 1


2. Where do I get the detailed procedure to find GCD of 870, 718, 691, 720?

You can find a detailed procedure to find GCD of 870, 718, 691, 720 on our page.


3. How to find GCD of 870, 718, 691, 720 on a calculator?

You can find the GCD of 870, 718, 691, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.