GCD of 388, 448, 730, 466 Calculator

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.

• GCD of 843, 464, 992, 222
• GCD of 666, 854, 553, 416
• GCD of 957, 869, 844, 953
• GCD of 934, 561, 330, 560
• GCD of 388, 863, 959, 347

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.