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, 640, 10, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 808, 640, 10, 841 is 1
GCD(808, 640, 10, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 640, 10, 841 is 1
GCD(808, 640, 10, 841) = 1
Given Input numbers are 808, 640, 10, 841
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 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 808, 640, 10, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 640, 10, 841 is 1.
Therefore, GCD of numbers 808, 640, 10, 841 is 1
Given Input Data is 808, 640, 10, 841
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 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 10 is 2 x 5
Prime Factorization of 841 is 29 x 29
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, 640) = 64640
GCD(808, 640) = ( 808 x 640 ) / 64640
GCD(808, 640) = 517120 / 64640
GCD(808, 640) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 10) = 40
GCD(8, 10) = ( 8 x 10 ) / 40
GCD(8, 10) = 80 / 40
GCD(8, 10) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 841) = 1682
GCD(2, 841) = ( 2 x 841 ) / 1682
GCD(2, 841) = 1682 / 1682
GCD(2, 841) = 1
GCD of 808, 640, 10, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 640, 10, 841?
GCD of 808, 640, 10, 841 is 1
2. Where do I get the detailed procedure to find GCD of 808, 640, 10, 841?
You can find a detailed procedure to find GCD of 808, 640, 10, 841 on our page.
3. How to find GCD of 808, 640, 10, 841 on a calculator?
You can find the GCD of 808, 640, 10, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.