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 324, 256, 35 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 256, 35 is 1
GCD(324, 256, 35) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 256, 35 is 1
GCD(324, 256, 35) = 1
Given Input numbers are 324, 256, 35
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 256
List of positive integer divisors of 256 that divides 256 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Greatest Common Divisior
We found the divisors of 324, 256, 35 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 256, 35 is 1.
Therefore, GCD of numbers 324, 256, 35 is 1
Given Input Data is 324, 256, 35
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 35 is 5 x 7
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(324, 256) = 20736
GCD(324, 256) = ( 324 x 256 ) / 20736
GCD(324, 256) = 82944 / 20736
GCD(324, 256) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 35) = 140
GCD(4, 35) = ( 4 x 35 ) / 140
GCD(4, 35) = 140 / 140
GCD(4, 35) = 1
GCD of 324, 256, 35 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 256, 35?
GCD of 324, 256, 35 is 1
2. Where do I get the detailed procedure to find GCD of 324, 256, 35?
You can find a detailed procedure to find GCD of 324, 256, 35 on our page.
3. How to find GCD of 324, 256, 35 on a calculator?
You can find the GCD of 324, 256, 35 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.