GCD of 842, 768, 101 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 842, 768, 101 i.e. 1 largest integer that divides all the numbers equally.

GCD of 842, 768, 101 is 1

GCD(842, 768, 101) = 1

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

GCD of

GCD of numbers 842, 768, 101 is 1

GCD(842, 768, 101) = 1

GCD of 842,768,101 Calculator

GCDof 842,768,101 is 1

Given Input numbers are 842, 768, 101

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Greatest Common Divisior

We found the divisors of 842, 768, 101 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 768, 101 is 1.

Therefore, GCD of numbers 842, 768, 101 is 1

Finding GCD of 842, 768, 101 using Prime Factorization

Given Input Data is 842, 768, 101

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 101 is 101

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

Finding GCD of 842, 768, 101 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(842, 768) = 323328

GCD(842, 768) = ( 842 x 768 ) / 323328

GCD(842, 768) = 646656 / 323328

GCD(842, 768) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 101

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

LCM(2, 101) = 202

GCD(2, 101) = ( 2 x 101 ) / 202

GCD(2, 101) = 202 / 202

GCD(2, 101) = 1

GCD of 842, 768, 101 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 842, 768, 101

1. What is the GCD of 842, 768, 101?

GCD of 842, 768, 101 is 1


2. Where do I get the detailed procedure to find GCD of 842, 768, 101?

You can find a detailed procedure to find GCD of 842, 768, 101 on our page.


3. How to find GCD of 842, 768, 101 on a calculator?

You can find the GCD of 842, 768, 101 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.