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 808, 765, 337, 874 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 765, 337, 874 is 1
GCD(808, 765, 337, 874) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 765, 337, 874 is 1
GCD(808, 765, 337, 874) = 1
Given Input numbers are 808, 765, 337, 874
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 337
List of positive integer divisors of 337 that divides 337 without a remainder.
1, 337
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Greatest Common Divisior
We found the divisors of 808, 765, 337, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 765, 337, 874 is 1.
Therefore, GCD of numbers 808, 765, 337, 874 is 1
Given Input Data is 808, 765, 337, 874
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 808 is 2 x 2 x 2 x 101
Prime Factorization of 765 is 3 x 3 x 5 x 17
Prime Factorization of 337 is 337
Prime Factorization of 874 is 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
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(808, 765) = 618120
GCD(808, 765) = ( 808 x 765 ) / 618120
GCD(808, 765) = 618120 / 618120
GCD(808, 765) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 337
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 337) = 337
GCD(1, 337) = ( 1 x 337 ) / 337
GCD(1, 337) = 337 / 337
GCD(1, 337) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 874
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
GCD(1, 874) = 874 / 874
GCD(1, 874) = 1
GCD of 808, 765, 337, 874 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 765, 337, 874?
GCD of 808, 765, 337, 874 is 1
2. Where do I get the detailed procedure to find GCD of 808, 765, 337, 874?
You can find a detailed procedure to find GCD of 808, 765, 337, 874 on our page.
3. How to find GCD of 808, 765, 337, 874 on a calculator?
You can find the GCD of 808, 765, 337, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.