GCD of 384, 713, 854, 560 Calculator

Given Input numbers are 384, 713, 854, 560

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 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 560

List of positive integer divisors of 560 that divides 560 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Greatest Common Divisior

We found the divisors of 384, 713, 854, 560 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 713, 854, 560 is 1.

Therefore, GCD of numbers 384, 713, 854, 560 is 1

Given Input Data is 384, 713, 854, 560

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 713 is 23 x 31

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7

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(384, 713) = 273792

GCD(384, 713) = ( 384 x 713 ) / 273792

GCD(384, 713) = 273792 / 273792

GCD(384, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 560

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

LCM(1, 560) = 560

GCD(1, 560) = ( 1 x 560 ) / 560

GCD(1, 560) = 560 / 560

GCD(1, 560) = 1

GCD of 384, 713, 854, 560 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 671, 201, 900
• GCD of 663, 818, 869, 846
• GCD of 748, 225, 536, 313
• GCD of 241, 103, 993, 260
• GCD of 863, 992, 260, 736

1. What is the GCD of 384, 713, 854, 560?

GCD of 384, 713, 854, 560 is 1

2. Where do I get the detailed procedure to find GCD of 384, 713, 854, 560?

You can find a detailed procedure to find GCD of 384, 713, 854, 560 on our page.

3. How to find GCD of 384, 713, 854, 560 on a calculator?

You can find the GCD of 384, 713, 854, 560 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.