GCD of 776, 980, 296 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 776, 980, 296 i.e. 4 largest integer that divides all the numbers equally.

GCD of 776, 980, 296 is 4

GCD(776, 980, 296) = 4

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

GCD of

GCD of numbers 776, 980, 296 is 4

GCD(776, 980, 296) = 4

GCD of 776,980,296 Calculator

GCDof 776,980,296 is 4

Given Input numbers are 776, 980, 296

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 776, 980, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 980, 296 is 4.

Therefore, GCD of numbers 776, 980, 296 is 4

Finding GCD of 776, 980, 296 using Prime Factorization

Given Input Data is 776, 980, 296

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 296 is 2 x 2 x 2 x 37

Highest common occurrences in the given inputs are 22

Multiplying them we get the GCD as 4

Finding GCD of 776, 980, 296 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(776, 980) = 190120

GCD(776, 980) = ( 776 x 980 ) / 190120

GCD(776, 980) = 760480 / 190120

GCD(776, 980) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 296

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

LCM(4, 296) = 296

GCD(4, 296) = ( 4 x 296 ) / 296

GCD(4, 296) = 1184 / 296

GCD(4, 296) = 4

GCD of 776, 980, 296 is 4

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 776, 980, 296

1. What is the GCD of 776, 980, 296?

GCD of 776, 980, 296 is 4


2. Where do I get the detailed procedure to find GCD of 776, 980, 296?

You can find a detailed procedure to find GCD of 776, 980, 296 on our page.


3. How to find GCD of 776, 980, 296 on a calculator?

You can find the GCD of 776, 980, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.