GCD of 18, 392, 949, 694 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 18, 392, 949, 694 i.e. 1 largest integer that divides all the numbers equally.

GCD of 18, 392, 949, 694 is 1

GCD(18, 392, 949, 694) = 1

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

GCD of

GCD of numbers 18, 392, 949, 694 is 1

GCD(18, 392, 949, 694) = 1

GCD of 18,392,949,694 Calculator

GCDof 18,392,949,694 is 1

Given Input numbers are 18, 392, 949, 694

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

Divisors of 18

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

1, 2, 3, 6, 9, 18

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 18, 392, 949, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 392, 949, 694 is 1.

Therefore, GCD of numbers 18, 392, 949, 694 is 1

Finding GCD of 18, 392, 949, 694 using Prime Factorization

Given Input Data is 18, 392, 949, 694

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 949 is 13 x 73

Prime Factorization of 694 is 2 x 347

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

Finding GCD of 18, 392, 949, 694 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(18, 392) = 3528

GCD(18, 392) = ( 18 x 392 ) / 3528

GCD(18, 392) = 7056 / 3528

GCD(18, 392) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 949

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

LCM(2, 949) = 1898

GCD(2, 949) = ( 2 x 949 ) / 1898

GCD(2, 949) = 1898 / 1898

GCD(2, 949) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 18, 392, 949, 694 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 18, 392, 949, 694

1. What is the GCD of 18, 392, 949, 694?

GCD of 18, 392, 949, 694 is 1


2. Where do I get the detailed procedure to find GCD of 18, 392, 949, 694?

You can find a detailed procedure to find GCD of 18, 392, 949, 694 on our page.


3. How to find GCD of 18, 392, 949, 694 on a calculator?

You can find the GCD of 18, 392, 949, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.