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 402, 729, 93, 122 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 729, 93, 122 is 1
GCD(402, 729, 93, 122) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 729, 93, 122 is 1
GCD(402, 729, 93, 122) = 1
Given Input numbers are 402, 729, 93, 122
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
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 93
List of positive integer divisors of 93 that divides 93 without a remainder.
1, 3, 31, 93
Divisors of 122
List of positive integer divisors of 122 that divides 122 without a remainder.
1, 2, 61, 122
Greatest Common Divisior
We found the divisors of 402, 729, 93, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 729, 93, 122 is 1.
Therefore, GCD of numbers 402, 729, 93, 122 is 1
Given Input Data is 402, 729, 93, 122
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 93 is 3 x 31
Prime Factorization of 122 is 2 x 61
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(402, 729) = 97686
GCD(402, 729) = ( 402 x 729 ) / 97686
GCD(402, 729) = 293058 / 97686
GCD(402, 729) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 93
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 93) = 93
GCD(3, 93) = ( 3 x 93 ) / 93
GCD(3, 93) = 279 / 93
GCD(3, 93) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 122
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 122) = 366
GCD(3, 122) = ( 3 x 122 ) / 366
GCD(3, 122) = 366 / 366
GCD(3, 122) = 1
GCD of 402, 729, 93, 122 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 729, 93, 122?
GCD of 402, 729, 93, 122 is 1
2. Where do I get the detailed procedure to find GCD of 402, 729, 93, 122?
You can find a detailed procedure to find GCD of 402, 729, 93, 122 on our page.
3. How to find GCD of 402, 729, 93, 122 on a calculator?
You can find the GCD of 402, 729, 93, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.