GCD of 807, 590, 85, 676 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 807, 590, 85, 676 i.e. 1 largest integer that divides all the numbers equally.

GCD of 807, 590, 85, 676 is 1

GCD(807, 590, 85, 676) = 1

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

GCD of

GCD of numbers 807, 590, 85, 676 is 1

GCD(807, 590, 85, 676) = 1

GCD of 807,590,85,676 Calculator

GCDof 807,590,85,676 is 1

Given Input numbers are 807, 590, 85, 676

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

Divisors of 807

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

1, 3, 269, 807

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 807, 590, 85, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 590, 85, 676 is 1.

Therefore, GCD of numbers 807, 590, 85, 676 is 1

Finding GCD of 807, 590, 85, 676 using Prime Factorization

Given Input Data is 807, 590, 85, 676

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

Prime Factorization of 807 is 3 x 269

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 85 is 5 x 17

Prime Factorization of 676 is 2 x 2 x 13 x 13

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

Finding GCD of 807, 590, 85, 676 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(807, 590) = 476130

GCD(807, 590) = ( 807 x 590 ) / 476130

GCD(807, 590) = 476130 / 476130

GCD(807, 590) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 807, 590, 85, 676 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 807, 590, 85, 676

1. What is the GCD of 807, 590, 85, 676?

GCD of 807, 590, 85, 676 is 1


2. Where do I get the detailed procedure to find GCD of 807, 590, 85, 676?

You can find a detailed procedure to find GCD of 807, 590, 85, 676 on our page.


3. How to find GCD of 807, 590, 85, 676 on a calculator?

You can find the GCD of 807, 590, 85, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.