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 164, 966, 677, 808 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 966, 677, 808 is 1
GCD(164, 966, 677, 808) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 966, 677, 808 is 1
GCD(164, 966, 677, 808) = 1
Given Input numbers are 164, 966, 677, 808
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 164
List of positive integer divisors of 164 that divides 164 without a remainder.
1, 2, 4, 41, 82, 164
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 808
List of positive integer divisors of 808 that divides 808 without a remainder.
1, 2, 4, 8, 101, 202, 404, 808
Greatest Common Divisior
We found the divisors of 164, 966, 677, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 966, 677, 808 is 1.
Therefore, GCD of numbers 164, 966, 677, 808 is 1
Given Input Data is 164, 966, 677, 808
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 164 is 2 x 2 x 41
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 677 is 677
Prime Factorization of 808 is 2 x 2 x 2 x 101
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(164, 966) = 79212
GCD(164, 966) = ( 164 x 966 ) / 79212
GCD(164, 966) = 158424 / 79212
GCD(164, 966) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 808
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 808) = 808
GCD(1, 808) = ( 1 x 808 ) / 808
GCD(1, 808) = 808 / 808
GCD(1, 808) = 1
GCD of 164, 966, 677, 808 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 966, 677, 808?
GCD of 164, 966, 677, 808 is 1
2. Where do I get the detailed procedure to find GCD of 164, 966, 677, 808?
You can find a detailed procedure to find GCD of 164, 966, 677, 808 on our page.
3. How to find GCD of 164, 966, 677, 808 on a calculator?
You can find the GCD of 164, 966, 677, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.