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 921, 179, 34, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 921, 179, 34, 243 is 1
GCD(921, 179, 34, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 921, 179, 34, 243 is 1
GCD(921, 179, 34, 243) = 1
Given Input numbers are 921, 179, 34, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Divisors of 179
List of positive integer divisors of 179 that divides 179 without a remainder.
1, 179
Divisors of 34
List of positive integer divisors of 34 that divides 34 without a remainder.
1, 2, 17, 34
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 921, 179, 34, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 179, 34, 243 is 1.
Therefore, GCD of numbers 921, 179, 34, 243 is 1
Given Input Data is 921, 179, 34, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 921 is 3 x 307
Prime Factorization of 179 is 179
Prime Factorization of 34 is 2 x 17
Prime Factorization of 243 is 3 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(921, 179) = 164859
GCD(921, 179) = ( 921 x 179 ) / 164859
GCD(921, 179) = 164859 / 164859
GCD(921, 179) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 34
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
GCD(1, 34) = 34 / 34
GCD(1, 34) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
GCD(1, 243) = 243 / 243
GCD(1, 243) = 1
GCD of 921, 179, 34, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 921, 179, 34, 243?
GCD of 921, 179, 34, 243 is 1
2. Where do I get the detailed procedure to find GCD of 921, 179, 34, 243?
You can find a detailed procedure to find GCD of 921, 179, 34, 243 on our page.
3. How to find GCD of 921, 179, 34, 243 on a calculator?
You can find the GCD of 921, 179, 34, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.