GCD of 700, 116, 65, 807 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 700, 116, 65, 807 i.e. 1 largest integer that divides all the numbers equally.

GCD of 700, 116, 65, 807 is 1

GCD(700, 116, 65, 807) = 1

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

GCD of

GCD of numbers 700, 116, 65, 807 is 1

GCD(700, 116, 65, 807) = 1

GCD of 700,116,65,807 Calculator

GCDof 700,116,65,807 is 1

Given Input numbers are 700, 116, 65, 807

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

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Greatest Common Divisior

We found the divisors of 700, 116, 65, 807 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 116, 65, 807 is 1.

Therefore, GCD of numbers 700, 116, 65, 807 is 1

Finding GCD of 700, 116, 65, 807 using Prime Factorization

Given Input Data is 700, 116, 65, 807

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

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 65 is 5 x 13

Prime Factorization of 807 is 3 x 269

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

Finding GCD of 700, 116, 65, 807 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(700, 116) = 20300

GCD(700, 116) = ( 700 x 116 ) / 20300

GCD(700, 116) = 81200 / 20300

GCD(700, 116) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 65

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

LCM(4, 65) = 260

GCD(4, 65) = ( 4 x 65 ) / 260

GCD(4, 65) = 260 / 260

GCD(4, 65) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 807

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

LCM(1, 807) = 807

GCD(1, 807) = ( 1 x 807 ) / 807

GCD(1, 807) = 807 / 807

GCD(1, 807) = 1

GCD of 700, 116, 65, 807 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 700, 116, 65, 807

1. What is the GCD of 700, 116, 65, 807?

GCD of 700, 116, 65, 807 is 1


2. Where do I get the detailed procedure to find GCD of 700, 116, 65, 807?

You can find a detailed procedure to find GCD of 700, 116, 65, 807 on our page.


3. How to find GCD of 700, 116, 65, 807 on a calculator?

You can find the GCD of 700, 116, 65, 807 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.