GCD of 842, 777, 320, 978 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, 777, 320, 978 i.e. 1 largest integer that divides all the numbers equally.

GCD of 842, 777, 320, 978 is 1

GCD(842, 777, 320, 978) = 1

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

GCD of

GCD of numbers 842, 777, 320, 978 is 1

GCD(842, 777, 320, 978) = 1

GCD of 842,777,320,978 Calculator

GCDof 842,777,320,978 is 1

Given Input numbers are 842, 777, 320, 978

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 777

List of positive integer divisors of 777 that divides 777 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 842, 777, 320, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 777, 320, 978 is 1.

Therefore, GCD of numbers 842, 777, 320, 978 is 1

Finding GCD of 842, 777, 320, 978 using Prime Factorization

Given Input Data is 842, 777, 320, 978

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 777 is 3 x 7 x 37

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 978 is 2 x 3 x 163

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

Finding GCD of 842, 777, 320, 978 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, 777) = 654234

GCD(842, 777) = ( 842 x 777 ) / 654234

GCD(842, 777) = 654234 / 654234

GCD(842, 777) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 842, 777, 320, 978 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 842, 777, 320, 978

1. What is the GCD of 842, 777, 320, 978?

GCD of 842, 777, 320, 978 is 1


2. Where do I get the detailed procedure to find GCD of 842, 777, 320, 978?

You can find a detailed procedure to find GCD of 842, 777, 320, 978 on our page.


3. How to find GCD of 842, 777, 320, 978 on a calculator?

You can find the GCD of 842, 777, 320, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.