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 326, 664, 72, 830 i.e. 2 largest integer that divides all the numbers equally.
GCD of 326, 664, 72, 830 is 2
GCD(326, 664, 72, 830) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 326, 664, 72, 830 is 2
GCD(326, 664, 72, 830) = 2
Given Input numbers are 326, 664, 72, 830
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Greatest Common Divisior
We found the divisors of 326, 664, 72, 830 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 326, 664, 72, 830 is 2.
Therefore, GCD of numbers 326, 664, 72, 830 is 2
Given Input Data is 326, 664, 72, 830
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 326 is 2 x 163
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 830 is 2 x 5 x 83
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(326, 664) = 108232
GCD(326, 664) = ( 326 x 664 ) / 108232
GCD(326, 664) = 216464 / 108232
GCD(326, 664) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
GCD(2, 72) = 144 / 72
GCD(2, 72) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 830
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 830) = 830
GCD(2, 830) = ( 2 x 830 ) / 830
GCD(2, 830) = 1660 / 830
GCD(2, 830) = 2
GCD of 326, 664, 72, 830 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 326, 664, 72, 830?
GCD of 326, 664, 72, 830 is 2
2. Where do I get the detailed procedure to find GCD of 326, 664, 72, 830?
You can find a detailed procedure to find GCD of 326, 664, 72, 830 on our page.
3. How to find GCD of 326, 664, 72, 830 on a calculator?
You can find the GCD of 326, 664, 72, 830 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.