GCD of 321, 942, 49, 851 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 321, 942, 49, 851 i.e. 1 largest integer that divides all the numbers equally.

GCD of 321, 942, 49, 851 is 1

GCD(321, 942, 49, 851) = 1

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

GCD of

GCD of numbers 321, 942, 49, 851 is 1

GCD(321, 942, 49, 851) = 1

GCD of 321,942,49,851 Calculator

GCDof 321,942,49,851 is 1

Given Input numbers are 321, 942, 49, 851

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Greatest Common Divisior

We found the divisors of 321, 942, 49, 851 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 942, 49, 851 is 1.

Therefore, GCD of numbers 321, 942, 49, 851 is 1

Finding GCD of 321, 942, 49, 851 using Prime Factorization

Given Input Data is 321, 942, 49, 851

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 49 is 7 x 7

Prime Factorization of 851 is 23 x 37

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

Finding GCD of 321, 942, 49, 851 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(321, 942) = 100794

GCD(321, 942) = ( 321 x 942 ) / 100794

GCD(321, 942) = 302382 / 100794

GCD(321, 942) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 49

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

LCM(3, 49) = 147

GCD(3, 49) = ( 3 x 49 ) / 147

GCD(3, 49) = 147 / 147

GCD(3, 49) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 851

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

LCM(1, 851) = 851

GCD(1, 851) = ( 1 x 851 ) / 851

GCD(1, 851) = 851 / 851

GCD(1, 851) = 1

GCD of 321, 942, 49, 851 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 321, 942, 49, 851

1. What is the GCD of 321, 942, 49, 851?

GCD of 321, 942, 49, 851 is 1


2. Where do I get the detailed procedure to find GCD of 321, 942, 49, 851?

You can find a detailed procedure to find GCD of 321, 942, 49, 851 on our page.


3. How to find GCD of 321, 942, 49, 851 on a calculator?

You can find the GCD of 321, 942, 49, 851 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.