GCD of 336, 255, 78, 977 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 336, 255, 78, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 336, 255, 78, 977 is 1

GCD(336, 255, 78, 977) = 1

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

GCD of

GCD of numbers 336, 255, 78, 977 is 1

GCD(336, 255, 78, 977) = 1

GCD of 336,255,78,977 Calculator

GCDof 336,255,78,977 is 1

Given Input numbers are 336, 255, 78, 977

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

Divisors of 336

List of positive integer divisors of 336 that divides 336 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 336, 255, 78, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 336, 255, 78, 977 is 1.

Therefore, GCD of numbers 336, 255, 78, 977 is 1

Finding GCD of 336, 255, 78, 977 using Prime Factorization

Given Input Data is 336, 255, 78, 977

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

Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 977 is 977

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

Finding GCD of 336, 255, 78, 977 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(336, 255) = 28560

GCD(336, 255) = ( 336 x 255 ) / 28560

GCD(336, 255) = 85680 / 28560

GCD(336, 255) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 78

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

LCM(3, 78) = 78

GCD(3, 78) = ( 3 x 78 ) / 78

GCD(3, 78) = 234 / 78

GCD(3, 78) = 3


Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 977

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

LCM(3, 977) = 2931

GCD(3, 977) = ( 3 x 977 ) / 2931

GCD(3, 977) = 2931 / 2931

GCD(3, 977) = 1

GCD of 336, 255, 78, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 336, 255, 78, 977

1. What is the GCD of 336, 255, 78, 977?

GCD of 336, 255, 78, 977 is 1


2. Where do I get the detailed procedure to find GCD of 336, 255, 78, 977?

You can find a detailed procedure to find GCD of 336, 255, 78, 977 on our page.


3. How to find GCD of 336, 255, 78, 977 on a calculator?

You can find the GCD of 336, 255, 78, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.