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, 202, 26, 668 i.e. 2 largest integer that divides all the numbers equally.
GCD of 808, 202, 26, 668 is 2
GCD(808, 202, 26, 668) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 808, 202, 26, 668 is 2
GCD(808, 202, 26, 668) = 2
Given Input numbers are 808, 202, 26, 668
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 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 26
List of positive integer divisors of 26 that divides 26 without a remainder.
1, 2, 13, 26
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Greatest Common Divisior
We found the divisors of 808, 202, 26, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 202, 26, 668 is 2.
Therefore, GCD of numbers 808, 202, 26, 668 is 2
Given Input Data is 808, 202, 26, 668
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 202 is 2 x 101
Prime Factorization of 26 is 2 x 13
Prime Factorization of 668 is 2 x 2 x 167
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 202) = 808
GCD(808, 202) = ( 808 x 202 ) / 808
GCD(808, 202) = 163216 / 808
GCD(808, 202) = 202
Step2:
Here we consider the GCD from the above i.e. 202 as first number and the next as 26
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(202, 26) = 2626
GCD(202, 26) = ( 202 x 26 ) / 2626
GCD(202, 26) = 5252 / 2626
GCD(202, 26) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 668
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
GCD(2, 668) = 1336 / 668
GCD(2, 668) = 2
GCD of 808, 202, 26, 668 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 808, 202, 26, 668?
GCD of 808, 202, 26, 668 is 2
2. Where do I get the detailed procedure to find GCD of 808, 202, 26, 668?
You can find a detailed procedure to find GCD of 808, 202, 26, 668 on our page.
3. How to find GCD of 808, 202, 26, 668 on a calculator?
You can find the GCD of 808, 202, 26, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.