GCD of 434, 208, 563, 384 Calculator

Given Input numbers are 434, 208, 563, 384

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

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 563

List of positive integer divisors of 563 that divides 563 without a remainder.

1, 563

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

Greatest Common Divisior

We found the divisors of 434, 208, 563, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 208, 563, 384 is 1.

Therefore, GCD of numbers 434, 208, 563, 384 is 1

Given Input Data is 434, 208, 563, 384

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

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 563 is 563

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

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(434, 208) = 45136

GCD(434, 208) = ( 434 x 208 ) / 45136

GCD(434, 208) = 90272 / 45136

GCD(434, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 563

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

LCM(2, 563) = 1126

GCD(2, 563) = ( 2 x 563 ) / 1126

GCD(2, 563) = 1126 / 1126

GCD(2, 563) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 384

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

LCM(1, 384) = 384

GCD(1, 384) = ( 1 x 384 ) / 384

GCD(1, 384) = 384 / 384

GCD(1, 384) = 1

GCD of 434, 208, 563, 384 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 202, 259, 770
• GCD of 182, 261, 239, 371
• GCD of 393, 353, 973, 986
• GCD of 654, 255, 624, 761
• GCD of 125, 304, 867, 707

1. What is the GCD of 434, 208, 563, 384?

GCD of 434, 208, 563, 384 is 1

2. Where do I get the detailed procedure to find GCD of 434, 208, 563, 384?

You can find a detailed procedure to find GCD of 434, 208, 563, 384 on our page.

3. How to find GCD of 434, 208, 563, 384 on a calculator?

You can find the GCD of 434, 208, 563, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.