GCD of 687, 196, 85, 763 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 687, 196, 85, 763 i.e. 1 largest integer that divides all the numbers equally.

GCD of 687, 196, 85, 763 is 1

GCD(687, 196, 85, 763) = 1

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

GCD of

GCD of numbers 687, 196, 85, 763 is 1

GCD(687, 196, 85, 763) = 1

GCD of 687,196,85,763 Calculator

GCDof 687,196,85,763 is 1

Given Input numbers are 687, 196, 85, 763

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 85

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

1, 5, 17, 85

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 687, 196, 85, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 196, 85, 763 is 1.

Therefore, GCD of numbers 687, 196, 85, 763 is 1

Finding GCD of 687, 196, 85, 763 using Prime Factorization

Given Input Data is 687, 196, 85, 763

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 763 is 7 x 109

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

Finding GCD of 687, 196, 85, 763 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(687, 196) = 134652

GCD(687, 196) = ( 687 x 196 ) / 134652

GCD(687, 196) = 134652 / 134652

GCD(687, 196) = 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 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 687, 196, 85, 763 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 687, 196, 85, 763

1. What is the GCD of 687, 196, 85, 763?

GCD of 687, 196, 85, 763 is 1


2. Where do I get the detailed procedure to find GCD of 687, 196, 85, 763?

You can find a detailed procedure to find GCD of 687, 196, 85, 763 on our page.


3. How to find GCD of 687, 196, 85, 763 on a calculator?

You can find the GCD of 687, 196, 85, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.