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 798, 908, 899, 640 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 908, 899, 640 is 1
GCD(798, 908, 899, 640) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 908, 899, 640 is 1
GCD(798, 908, 899, 640) = 1
Given Input numbers are 798, 908, 899, 640
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 908
List of positive integer divisors of 908 that divides 908 without a remainder.
1, 2, 4, 227, 454, 908
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
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
Greatest Common Divisior
We found the divisors of 798, 908, 899, 640 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 908, 899, 640 is 1.
Therefore, GCD of numbers 798, 908, 899, 640 is 1
Given Input Data is 798, 908, 899, 640
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 908 is 2 x 2 x 227
Prime Factorization of 899 is 29 x 31
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
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(798, 908) = 362292
GCD(798, 908) = ( 798 x 908 ) / 362292
GCD(798, 908) = 724584 / 362292
GCD(798, 908) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 899) = 1798
GCD(2, 899) = ( 2 x 899 ) / 1798
GCD(2, 899) = 1798 / 1798
GCD(2, 899) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 640
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 640) = 640
GCD(1, 640) = ( 1 x 640 ) / 640
GCD(1, 640) = 640 / 640
GCD(1, 640) = 1
GCD of 798, 908, 899, 640 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 908, 899, 640?
GCD of 798, 908, 899, 640 is 1
2. Where do I get the detailed procedure to find GCD of 798, 908, 899, 640?
You can find a detailed procedure to find GCD of 798, 908, 899, 640 on our page.
3. How to find GCD of 798, 908, 899, 640 on a calculator?
You can find the GCD of 798, 908, 899, 640 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.