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, 210, 56, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 210, 56, 165 is 1
GCD(324, 210, 56, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 210, 56, 165 is 1
GCD(324, 210, 56, 165) = 1
Given Input numbers are 324, 210, 56, 165
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 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 324, 210, 56, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 210, 56, 165 is 1.
Therefore, GCD of numbers 324, 210, 56, 165 is 1
Given Input Data is 324, 210, 56, 165
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 210 is 2 x 3 x 5 x 7
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 165 is 3 x 5 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(324, 210) = 11340
GCD(324, 210) = ( 324 x 210 ) / 11340
GCD(324, 210) = 68040 / 11340
GCD(324, 210) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 56) = 168
GCD(6, 56) = ( 6 x 56 ) / 168
GCD(6, 56) = 336 / 168
GCD(6, 56) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
GCD(2, 165) = 330 / 330
GCD(2, 165) = 1
GCD of 324, 210, 56, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 210, 56, 165?
GCD of 324, 210, 56, 165 is 1
2. Where do I get the detailed procedure to find GCD of 324, 210, 56, 165?
You can find a detailed procedure to find GCD of 324, 210, 56, 165 on our page.
3. How to find GCD of 324, 210, 56, 165 on a calculator?
You can find the GCD of 324, 210, 56, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.