GCD of 866, 348, 18, 737 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 866, 348, 18, 737 i.e. 1 largest integer that divides all the numbers equally.

GCD of 866, 348, 18, 737 is 1

GCD(866, 348, 18, 737) = 1

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

GCD of

GCD of numbers 866, 348, 18, 737 is 1

GCD(866, 348, 18, 737) = 1

GCD of 866,348,18,737 Calculator

GCDof 866,348,18,737 is 1

Given Input numbers are 866, 348, 18, 737

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

Divisors of 866

List of positive integer divisors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 737

List of positive integer divisors of 737 that divides 737 without a remainder.

1, 11, 67, 737

Greatest Common Divisior

We found the divisors of 866, 348, 18, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 866, 348, 18, 737 is 1.

Therefore, GCD of numbers 866, 348, 18, 737 is 1

Finding GCD of 866, 348, 18, 737 using Prime Factorization

Given Input Data is 866, 348, 18, 737

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

Prime Factorization of 866 is 2 x 433

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 737 is 11 x 67

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

Finding GCD of 866, 348, 18, 737 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(866, 348) = 150684

GCD(866, 348) = ( 866 x 348 ) / 150684

GCD(866, 348) = 301368 / 150684

GCD(866, 348) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 18

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

LCM(2, 18) = 18

GCD(2, 18) = ( 2 x 18 ) / 18

GCD(2, 18) = 36 / 18

GCD(2, 18) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 737

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

LCM(2, 737) = 1474

GCD(2, 737) = ( 2 x 737 ) / 1474

GCD(2, 737) = 1474 / 1474

GCD(2, 737) = 1

GCD of 866, 348, 18, 737 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 866, 348, 18, 737

1. What is the GCD of 866, 348, 18, 737?

GCD of 866, 348, 18, 737 is 1


2. Where do I get the detailed procedure to find GCD of 866, 348, 18, 737?

You can find a detailed procedure to find GCD of 866, 348, 18, 737 on our page.


3. How to find GCD of 866, 348, 18, 737 on a calculator?

You can find the GCD of 866, 348, 18, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.