GCD of 384, 706, 691, 894 Calculator

Given Input numbers are 384, 706, 691, 894

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Greatest Common Divisior

We found the divisors of 384, 706, 691, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 706, 691, 894 is 1.

Therefore, GCD of numbers 384, 706, 691, 894 is 1

Given Input Data is 384, 706, 691, 894

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 706 is 2 x 353

Prime Factorization of 691 is 691

Prime Factorization of 894 is 2 x 3 x 149

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, 706) = 135552

GCD(384, 706) = ( 384 x 706 ) / 135552

GCD(384, 706) = 271104 / 135552

GCD(384, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 691

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

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

GCD(2, 691) = 1382 / 1382

GCD(2, 691) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 894

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

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

GCD(1, 894) = 894 / 894

GCD(1, 894) = 1

GCD of 384, 706, 691, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 993, 147, 591
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• GCD of 716, 480, 329, 499

1. What is the GCD of 384, 706, 691, 894?

GCD of 384, 706, 691, 894 is 1

2. Where do I get the detailed procedure to find GCD of 384, 706, 691, 894?

You can find a detailed procedure to find GCD of 384, 706, 691, 894 on our page.

3. How to find GCD of 384, 706, 691, 894 on a calculator?

You can find the GCD of 384, 706, 691, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.