GCD of 720, 867, 87, 697 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 720, 867, 87, 697 i.e. 1 largest integer that divides all the numbers equally.

GCD of 720, 867, 87, 697 is 1

GCD(720, 867, 87, 697) = 1

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

GCD of

GCD of numbers 720, 867, 87, 697 is 1

GCD(720, 867, 87, 697) = 1

GCD of 720,867,87,697 Calculator

GCDof 720,867,87,697 is 1

Given Input numbers are 720, 867, 87, 697

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

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 720, 867, 87, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 867, 87, 697 is 1.

Therefore, GCD of numbers 720, 867, 87, 697 is 1

Finding GCD of 720, 867, 87, 697 using Prime Factorization

Given Input Data is 720, 867, 87, 697

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

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 697 is 17 x 41

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

Finding GCD of 720, 867, 87, 697 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(720, 867) = 208080

GCD(720, 867) = ( 720 x 867 ) / 208080

GCD(720, 867) = 624240 / 208080

GCD(720, 867) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 697

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

LCM(3, 697) = 2091

GCD(3, 697) = ( 3 x 697 ) / 2091

GCD(3, 697) = 2091 / 2091

GCD(3, 697) = 1

GCD of 720, 867, 87, 697 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 720, 867, 87, 697

1. What is the GCD of 720, 867, 87, 697?

GCD of 720, 867, 87, 697 is 1


2. Where do I get the detailed procedure to find GCD of 720, 867, 87, 697?

You can find a detailed procedure to find GCD of 720, 867, 87, 697 on our page.


3. How to find GCD of 720, 867, 87, 697 on a calculator?

You can find the GCD of 720, 867, 87, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.