GCD of 802, 977, 113, 775 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 802, 977, 113, 775 i.e. 1 largest integer that divides all the numbers equally.

GCD of 802, 977, 113, 775 is 1

GCD(802, 977, 113, 775) = 1

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

GCD of

GCD of numbers 802, 977, 113, 775 is 1

GCD(802, 977, 113, 775) = 1

GCD of 802,977,113,775 Calculator

GCDof 802,977,113,775 is 1

Given Input numbers are 802, 977, 113, 775

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

Divisors of 802

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

1, 2, 401, 802

Divisors of 977

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

1, 977

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Greatest Common Divisior

We found the divisors of 802, 977, 113, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 977, 113, 775 is 1.

Therefore, GCD of numbers 802, 977, 113, 775 is 1

Finding GCD of 802, 977, 113, 775 using Prime Factorization

Given Input Data is 802, 977, 113, 775

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

Prime Factorization of 802 is 2 x 401

Prime Factorization of 977 is 977

Prime Factorization of 113 is 113

Prime Factorization of 775 is 5 x 5 x 31

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

Finding GCD of 802, 977, 113, 775 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(802, 977) = 783554

GCD(802, 977) = ( 802 x 977 ) / 783554

GCD(802, 977) = 783554 / 783554

GCD(802, 977) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 775

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

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

GCD(1, 775) = 775 / 775

GCD(1, 775) = 1

GCD of 802, 977, 113, 775 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 802, 977, 113, 775

1. What is the GCD of 802, 977, 113, 775?

GCD of 802, 977, 113, 775 is 1


2. Where do I get the detailed procedure to find GCD of 802, 977, 113, 775?

You can find a detailed procedure to find GCD of 802, 977, 113, 775 on our page.


3. How to find GCD of 802, 977, 113, 775 on a calculator?

You can find the GCD of 802, 977, 113, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.