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 323, 548, 68, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 323, 548, 68, 153 is 1
GCD(323, 548, 68, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 323, 548, 68, 153 is 1
GCD(323, 548, 68, 153) = 1
Given Input numbers are 323, 548, 68, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 323, 548, 68, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 323, 548, 68, 153 is 1.
Therefore, GCD of numbers 323, 548, 68, 153 is 1
Given Input Data is 323, 548, 68, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 323 is 17 x 19
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 153 is 3 x 3 x 17
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(323, 548) = 177004
GCD(323, 548) = ( 323 x 548 ) / 177004
GCD(323, 548) = 177004 / 177004
GCD(323, 548) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 68) = 68
GCD(1, 68) = ( 1 x 68 ) / 68
GCD(1, 68) = 68 / 68
GCD(1, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
GCD of 323, 548, 68, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 323, 548, 68, 153?
GCD of 323, 548, 68, 153 is 1
2. Where do I get the detailed procedure to find GCD of 323, 548, 68, 153?
You can find a detailed procedure to find GCD of 323, 548, 68, 153 on our page.
3. How to find GCD of 323, 548, 68, 153 on a calculator?
You can find the GCD of 323, 548, 68, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.