GCD of 10, 384, 543, 886 Calculator

Given Input numbers are 10, 384, 543, 886

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

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 543

List of positive integer divisors of 543 that divides 543 without a remainder.

1, 3, 181, 543

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 10, 384, 543, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 384, 543, 886 is 1.

Therefore, GCD of numbers 10, 384, 543, 886 is 1

Given Input Data is 10, 384, 543, 886

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

Prime Factorization of 10 is 2 x 5

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

Prime Factorization of 543 is 3 x 181

Prime Factorization of 886 is 2 x 443

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(10, 384) = 1920

GCD(10, 384) = ( 10 x 384 ) / 1920

GCD(10, 384) = 3840 / 1920

GCD(10, 384) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 543

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

LCM(2, 543) = 1086

GCD(2, 543) = ( 2 x 543 ) / 1086

GCD(2, 543) = 1086 / 1086

GCD(2, 543) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 886

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

LCM(1, 886) = 886

GCD(1, 886) = ( 1 x 886 ) / 886

GCD(1, 886) = 886 / 886

GCD(1, 886) = 1

GCD of 10, 384, 543, 886 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 796, 601, 450
• GCD of 15, 694, 703, 974
• GCD of 71, 193, 134, 441
• GCD of 63, 149, 911, 221
• GCD of 38, 900, 651, 759

1. What is the GCD of 10, 384, 543, 886?

GCD of 10, 384, 543, 886 is 1

2. Where do I get the detailed procedure to find GCD of 10, 384, 543, 886?

You can find a detailed procedure to find GCD of 10, 384, 543, 886 on our page.

3. How to find GCD of 10, 384, 543, 886 on a calculator?

You can find the GCD of 10, 384, 543, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.