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 217, 548, 11, 324 i.e. 1 largest integer that divides all the numbers equally.
GCD of 217, 548, 11, 324 is 1
GCD(217, 548, 11, 324) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 217, 548, 11, 324 is 1
GCD(217, 548, 11, 324) = 1
Given Input numbers are 217, 548, 11, 324
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 217
List of positive integer divisors of 217 that divides 217 without a remainder.
1, 7, 31, 217
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
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
Greatest Common Divisior
We found the divisors of 217, 548, 11, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 548, 11, 324 is 1.
Therefore, GCD of numbers 217, 548, 11, 324 is 1
Given Input Data is 217, 548, 11, 324
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 217 is 7 x 31
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 11 is 11
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
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(217, 548) = 118916
GCD(217, 548) = ( 217 x 548 ) / 118916
GCD(217, 548) = 118916 / 118916
GCD(217, 548) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 324
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 324) = 324
GCD(1, 324) = ( 1 x 324 ) / 324
GCD(1, 324) = 324 / 324
GCD(1, 324) = 1
GCD of 217, 548, 11, 324 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 217, 548, 11, 324?
GCD of 217, 548, 11, 324 is 1
2. Where do I get the detailed procedure to find GCD of 217, 548, 11, 324?
You can find a detailed procedure to find GCD of 217, 548, 11, 324 on our page.
3. How to find GCD of 217, 548, 11, 324 on a calculator?
You can find the GCD of 217, 548, 11, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.