GCD of 384, 266, 26, 430 Calculator

Given Input numbers are 384, 266, 26, 430

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 266

List of positive integer divisors of 266 that divides 266 without a remainder.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Greatest Common Divisior

We found the divisors of 384, 266, 26, 430 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 266, 26, 430 is 2.

Therefore, GCD of numbers 384, 266, 26, 430 is 2

Given Input Data is 384, 266, 26, 430

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 266 is 2 x 7 x 19

Prime Factorization of 26 is 2 x 13

Prime Factorization of 430 is 2 x 5 x 43

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(384, 266) = 51072

GCD(384, 266) = ( 384 x 266 ) / 51072

GCD(384, 266) = 102144 / 51072

GCD(384, 266) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 26

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 26) = 26

GCD(2, 26) = ( 2 x 26 ) / 26

GCD(2, 26) = 52 / 26

GCD(2, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 430

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

GCD(2, 430) = 860 / 430

GCD(2, 430) = 2

GCD of 384, 266, 26, 430 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 824, 16, 543
• GCD of 748, 234, 33, 984
• GCD of 574, 384, 22, 718
• GCD of 740, 529, 13, 791
• GCD of 392, 793, 80, 407

1. What is the GCD of 384, 266, 26, 430?

GCD of 384, 266, 26, 430 is 2

2. Where do I get the detailed procedure to find GCD of 384, 266, 26, 430?

You can find a detailed procedure to find GCD of 384, 266, 26, 430 on our page.

3. How to find GCD of 384, 266, 26, 430 on a calculator?

You can find the GCD of 384, 266, 26, 430 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.