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, 349, 723, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 164, 349, 723, 891 is 1
GCD(164, 349, 723, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 164, 349, 723, 891 is 1
GCD(164, 349, 723, 891) = 1
Given Input numbers are 164, 349, 723, 891
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 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 164, 349, 723, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 349, 723, 891 is 1.
Therefore, GCD of numbers 164, 349, 723, 891 is 1
Given Input Data is 164, 349, 723, 891
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 349 is 349
Prime Factorization of 723 is 3 x 241
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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, 349) = 57236
GCD(164, 349) = ( 164 x 349 ) / 57236
GCD(164, 349) = 57236 / 57236
GCD(164, 349) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 723) = 723
GCD(1, 723) = ( 1 x 723 ) / 723
GCD(1, 723) = 723 / 723
GCD(1, 723) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 164, 349, 723, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 164, 349, 723, 891?
GCD of 164, 349, 723, 891 is 1
2. Where do I get the detailed procedure to find GCD of 164, 349, 723, 891?
You can find a detailed procedure to find GCD of 164, 349, 723, 891 on our page.
3. How to find GCD of 164, 349, 723, 891 on a calculator?
You can find the GCD of 164, 349, 723, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.