GCD of 776, 908, 802, 117 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, 908, 802, 117 i.e. 1 largest integer that divides all the numbers equally.

GCD of 776, 908, 802, 117 is 1

GCD(776, 908, 802, 117) = 1

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

GCD of

GCD of numbers 776, 908, 802, 117 is 1

GCD(776, 908, 802, 117) = 1

GCD of 776,908,802,117 Calculator

GCDof 776,908,802,117 is 1

Given Input numbers are 776, 908, 802, 117

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 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 776, 908, 802, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 908, 802, 117 is 1.

Therefore, GCD of numbers 776, 908, 802, 117 is 1

Finding GCD of 776, 908, 802, 117 using Prime Factorization

Given Input Data is 776, 908, 802, 117

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 908 is 2 x 2 x 227

Prime Factorization of 802 is 2 x 401

Prime Factorization of 117 is 3 x 3 x 13

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

Finding GCD of 776, 908, 802, 117 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, 908) = 176152

GCD(776, 908) = ( 776 x 908 ) / 176152

GCD(776, 908) = 704608 / 176152

GCD(776, 908) = 4


Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 802

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

LCM(4, 802) = 1604

GCD(4, 802) = ( 4 x 802 ) / 1604

GCD(4, 802) = 3208 / 1604

GCD(4, 802) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 776, 908, 802, 117 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 776, 908, 802, 117

1. What is the GCD of 776, 908, 802, 117?

GCD of 776, 908, 802, 117 is 1


2. Where do I get the detailed procedure to find GCD of 776, 908, 802, 117?

You can find a detailed procedure to find GCD of 776, 908, 802, 117 on our page.


3. How to find GCD of 776, 908, 802, 117 on a calculator?

You can find the GCD of 776, 908, 802, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.