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 324, 906, 463, 726 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 906, 463, 726 is 1
GCD(324, 906, 463, 726) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 906, 463, 726 is 1
GCD(324, 906, 463, 726) = 1
Given Input numbers are 324, 906, 463, 726
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 726
List of positive integer divisors of 726 that divides 726 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Greatest Common Divisior
We found the divisors of 324, 906, 463, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 906, 463, 726 is 1.
Therefore, GCD of numbers 324, 906, 463, 726 is 1
Given Input Data is 324, 906, 463, 726
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 463 is 463
Prime Factorization of 726 is 2 x 3 x 11 x 11
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(324, 906) = 48924
GCD(324, 906) = ( 324 x 906 ) / 48924
GCD(324, 906) = 293544 / 48924
GCD(324, 906) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 463
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 463) = 2778
GCD(6, 463) = ( 6 x 463 ) / 2778
GCD(6, 463) = 2778 / 2778
GCD(6, 463) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 726
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 726) = 726
GCD(1, 726) = ( 1 x 726 ) / 726
GCD(1, 726) = 726 / 726
GCD(1, 726) = 1
GCD of 324, 906, 463, 726 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 906, 463, 726?
GCD of 324, 906, 463, 726 is 1
2. Where do I get the detailed procedure to find GCD of 324, 906, 463, 726?
You can find a detailed procedure to find GCD of 324, 906, 463, 726 on our page.
3. How to find GCD of 324, 906, 463, 726 on a calculator?
You can find the GCD of 324, 906, 463, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.