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 123, 919, 802, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 919, 802, 729 is 1
GCD(123, 919, 802, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 919, 802, 729 is 1
GCD(123, 919, 802, 729) = 1
Given Input numbers are 123, 919, 802, 729
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 802
List of positive integer divisors of 802 that divides 802 without a remainder.
1, 2, 401, 802
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 123, 919, 802, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 919, 802, 729 is 1.
Therefore, GCD of numbers 123, 919, 802, 729 is 1
Given Input Data is 123, 919, 802, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 919 is 919
Prime Factorization of 802 is 2 x 401
Prime Factorization of 729 is 3 x 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(123, 919) = 113037
GCD(123, 919) = ( 123 x 919 ) / 113037
GCD(123, 919) = 113037 / 113037
GCD(123, 919) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 802
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 802) = 802
GCD(1, 802) = ( 1 x 802 ) / 802
GCD(1, 802) = 802 / 802
GCD(1, 802) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 123, 919, 802, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 919, 802, 729?
GCD of 123, 919, 802, 729 is 1
2. Where do I get the detailed procedure to find GCD of 123, 919, 802, 729?
You can find a detailed procedure to find GCD of 123, 919, 802, 729 on our page.
3. How to find GCD of 123, 919, 802, 729 on a calculator?
You can find the GCD of 123, 919, 802, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.