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 68, 153, 927, 441 i.e. 1 largest integer that divides all the numbers equally.
GCD of 68, 153, 927, 441 is 1
GCD(68, 153, 927, 441) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 68, 153, 927, 441 is 1
GCD(68, 153, 927, 441) = 1
Given Input numbers are 68, 153, 927, 441
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 927
List of positive integer divisors of 927 that divides 927 without a remainder.
1, 3, 9, 103, 309, 927
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Greatest Common Divisior
We found the divisors of 68, 153, 927, 441 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 153, 927, 441 is 1.
Therefore, GCD of numbers 68, 153, 927, 441 is 1
Given Input Data is 68, 153, 927, 441
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 927 is 3 x 3 x 103
Prime Factorization of 441 is 3 x 3 x 7 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(68, 153) = 612
GCD(68, 153) = ( 68 x 153 ) / 612
GCD(68, 153) = 10404 / 612
GCD(68, 153) = 17
Step2:
Here we consider the GCD from the above i.e. 17 as first number and the next as 927
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(17, 927) = 15759
GCD(17, 927) = ( 17 x 927 ) / 15759
GCD(17, 927) = 15759 / 15759
GCD(17, 927) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 441
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 441) = 441
GCD(1, 441) = ( 1 x 441 ) / 441
GCD(1, 441) = 441 / 441
GCD(1, 441) = 1
GCD of 68, 153, 927, 441 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 68, 153, 927, 441?
GCD of 68, 153, 927, 441 is 1
2. Where do I get the detailed procedure to find GCD of 68, 153, 927, 441?
You can find a detailed procedure to find GCD of 68, 153, 927, 441 on our page.
3. How to find GCD of 68, 153, 927, 441 on a calculator?
You can find the GCD of 68, 153, 927, 441 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.