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 30, 774, 723, 906 i.e. 3 largest integer that divides all the numbers equally.
GCD of 30, 774, 723, 906 is 3
GCD(30, 774, 723, 906) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 774, 723, 906 is 3
GCD(30, 774, 723, 906) = 3
Given Input numbers are 30, 774, 723, 906
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 723
List of positive integer divisors of 723 that divides 723 without a remainder.
1, 3, 241, 723
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Greatest Common Divisior
We found the divisors of 30, 774, 723, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 774, 723, 906 is 3.
Therefore, GCD of numbers 30, 774, 723, 906 is 3
Given Input Data is 30, 774, 723, 906
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 723 is 3 x 241
Prime Factorization of 906 is 2 x 3 x 151
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(30, 774) = 3870
GCD(30, 774) = ( 30 x 774 ) / 3870
GCD(30, 774) = 23220 / 3870
GCD(30, 774) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 723) = 1446
GCD(6, 723) = ( 6 x 723 ) / 1446
GCD(6, 723) = 4338 / 1446
GCD(6, 723) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 906
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 906) = 906
GCD(3, 906) = ( 3 x 906 ) / 906
GCD(3, 906) = 2718 / 906
GCD(3, 906) = 3
GCD of 30, 774, 723, 906 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 774, 723, 906?
GCD of 30, 774, 723, 906 is 3
2. Where do I get the detailed procedure to find GCD of 30, 774, 723, 906?
You can find a detailed procedure to find GCD of 30, 774, 723, 906 on our page.
3. How to find GCD of 30, 774, 723, 906 on a calculator?
You can find the GCD of 30, 774, 723, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.