GCD of 982, 308, 27, 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 982, 308, 27, 977 i.e. 1 largest integer that divides all the numbers equally.

GCD of 982, 308, 27, 977 is 1

GCD(982, 308, 27, 977) = 1

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

GCD of

GCD of numbers 982, 308, 27, 977 is 1

GCD(982, 308, 27, 977) = 1

GCD of 982,308,27,977 Calculator

GCDof 982,308,27,977 is 1

Given Input numbers are 982, 308, 27, 977

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

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 982, 308, 27, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 982, 308, 27, 977 is 1.

Therefore, GCD of numbers 982, 308, 27, 977 is 1

Finding GCD of 982, 308, 27, 977 using Prime Factorization

Given Input Data is 982, 308, 27, 977

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

Prime Factorization of 982 is 2 x 491

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 977 is 977

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

Finding GCD of 982, 308, 27, 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(982, 308) = 151228

GCD(982, 308) = ( 982 x 308 ) / 151228

GCD(982, 308) = 302456 / 151228

GCD(982, 308) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 982, 308, 27, 977 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 982, 308, 27, 977

1. What is the GCD of 982, 308, 27, 977?

GCD of 982, 308, 27, 977 is 1


2. Where do I get the detailed procedure to find GCD of 982, 308, 27, 977?

You can find a detailed procedure to find GCD of 982, 308, 27, 977 on our page.


3. How to find GCD of 982, 308, 27, 977 on a calculator?

You can find the GCD of 982, 308, 27, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.