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, 402, 926, 946 i.e. 1 largest integer that divides all the numbers equally.
GCD of 729, 402, 926, 946 is 1
GCD(729, 402, 926, 946) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 729, 402, 926, 946 is 1
GCD(729, 402, 926, 946) = 1
Given Input numbers are 729, 402, 926, 946
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 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Greatest Common Divisior
We found the divisors of 729, 402, 926, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 402, 926, 946 is 1.
Therefore, GCD of numbers 729, 402, 926, 946 is 1
Given Input Data is 729, 402, 926, 946
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 402 is 2 x 3 x 67
Prime Factorization of 926 is 2 x 463
Prime Factorization of 946 is 2 x 11 x 43
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, 402) = 97686
GCD(729, 402) = ( 729 x 402 ) / 97686
GCD(729, 402) = 293058 / 97686
GCD(729, 402) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 926) = 2778
GCD(3, 926) = ( 3 x 926 ) / 2778
GCD(3, 926) = 2778 / 2778
GCD(3, 926) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 946
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 946) = 946
GCD(1, 946) = ( 1 x 946 ) / 946
GCD(1, 946) = 946 / 946
GCD(1, 946) = 1
GCD of 729, 402, 926, 946 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 729, 402, 926, 946?
GCD of 729, 402, 926, 946 is 1
2. Where do I get the detailed procedure to find GCD of 729, 402, 926, 946?
You can find a detailed procedure to find GCD of 729, 402, 926, 946 on our page.
3. How to find GCD of 729, 402, 926, 946 on a calculator?
You can find the GCD of 729, 402, 926, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.