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 388, 448, 730, 466 i.e. 2 largest integer that divides all the numbers equally.
GCD of 388, 448, 730, 466 is 2
GCD(388, 448, 730, 466) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 388, 448, 730, 466 is 2
GCD(388, 448, 730, 466) = 2
Given Input numbers are 388, 448, 730, 466
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 388
List of positive integer divisors of 388 that divides 388 without a remainder.
1, 2, 4, 97, 194, 388
Divisors of 448
List of positive integer divisors of 448 that divides 448 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 388, 448, 730, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 388, 448, 730, 466 is 2.
Therefore, GCD of numbers 388, 448, 730, 466 is 2
Given Input Data is 388, 448, 730, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 388 is 2 x 2 x 97
Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 730 is 2 x 5 x 73
Prime Factorization of 466 is 2 x 233
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(388, 448) = 43456
GCD(388, 448) = ( 388 x 448 ) / 43456
GCD(388, 448) = 173824 / 43456
GCD(388, 448) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 730
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 730) = 1460
GCD(4, 730) = ( 4 x 730 ) / 1460
GCD(4, 730) = 2920 / 1460
GCD(4, 730) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 466) = 466
GCD(2, 466) = ( 2 x 466 ) / 466
GCD(2, 466) = 932 / 466
GCD(2, 466) = 2
GCD of 388, 448, 730, 466 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 388, 448, 730, 466?
GCD of 388, 448, 730, 466 is 2
2. Where do I get the detailed procedure to find GCD of 388, 448, 730, 466?
You can find a detailed procedure to find GCD of 388, 448, 730, 466 on our page.
3. How to find GCD of 388, 448, 730, 466 on a calculator?
You can find the GCD of 388, 448, 730, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.