GCD of 983, 616, 777 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 983, 616, 777 i.e. 1 largest integer that divides all the numbers equally.

GCD of 983, 616, 777 is 1

GCD(983, 616, 777) = 1

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

GCD of

GCD of numbers 983, 616, 777 is 1

GCD(983, 616, 777) = 1

GCD of 983,616,777 Calculator

GCDof 983,616,777 is 1

Given Input numbers are 983, 616, 777

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

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 777

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

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

Greatest Common Divisior

We found the divisors of 983, 616, 777 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 983, 616, 777 is 1.

Therefore, GCD of numbers 983, 616, 777 is 1

Finding GCD of 983, 616, 777 using Prime Factorization

Given Input Data is 983, 616, 777

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

Prime Factorization of 983 is 983

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 777 is 3 x 7 x 37

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

Finding GCD of 983, 616, 777 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(983, 616) = 605528

GCD(983, 616) = ( 983 x 616 ) / 605528

GCD(983, 616) = 605528 / 605528

GCD(983, 616) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 777

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

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

GCD(1, 777) = 777 / 777

GCD(1, 777) = 1

GCD of 983, 616, 777 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 983, 616, 777

1. What is the GCD of 983, 616, 777?

GCD of 983, 616, 777 is 1


2. Where do I get the detailed procedure to find GCD of 983, 616, 777?

You can find a detailed procedure to find GCD of 983, 616, 777 on our page.


3. How to find GCD of 983, 616, 777 on a calculator?

You can find the GCD of 983, 616, 777 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.