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 729, 654, 202, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 654, 202, 468 is 1
GCD(729, 654, 202, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 654, 202, 468 is 1
GCD(729, 654, 202, 468) = 1
Given Input numbers are 729, 654, 202, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 729, 654, 202, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 654, 202, 468 is 1.
Therefore, GCD of numbers 729, 654, 202, 468 is 1
Given Input Data is 729, 654, 202, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 202 is 2 x 101
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(729, 654) = 158922
GCD(729, 654) = ( 729 x 654 ) / 158922
GCD(729, 654) = 476766 / 158922
GCD(729, 654) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 202
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 202) = 606
GCD(3, 202) = ( 3 x 202 ) / 606
GCD(3, 202) = 606 / 606
GCD(3, 202) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 729, 654, 202, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 654, 202, 468?
GCD of 729, 654, 202, 468 is 1
2. Where do I get the detailed procedure to find GCD of 729, 654, 202, 468?
You can find a detailed procedure to find GCD of 729, 654, 202, 468 on our page.
3. How to find GCD of 729, 654, 202, 468 on a calculator?
You can find the GCD of 729, 654, 202, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.