GCD of 399, 987, 55, 894 Calculator

Given Input numbers are 399, 987, 55, 894

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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 399, 987, 55, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 987, 55, 894 is 1.

Therefore, GCD of numbers 399, 987, 55, 894 is 1

Given Input Data is 399, 987, 55, 894

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 55 is 5 x 11

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(399, 987) = 18753

GCD(399, 987) = ( 399 x 987 ) / 18753

GCD(399, 987) = 393813 / 18753

GCD(399, 987) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 55

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

LCM(21, 55) = 1155

GCD(21, 55) = ( 21 x 55 ) / 1155

GCD(21, 55) = 1155 / 1155

GCD(21, 55) = 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 399, 987, 55, 894 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 798, 70, 946
• GCD of 705, 451, 62, 238
• GCD of 115, 274, 31, 325
• GCD of 729, 847, 20, 857
• GCD of 546, 554, 73, 495

1. What is the GCD of 399, 987, 55, 894?

GCD of 399, 987, 55, 894 is 1

2. Where do I get the detailed procedure to find GCD of 399, 987, 55, 894?

You can find a detailed procedure to find GCD of 399, 987, 55, 894 on our page.

3. How to find GCD of 399, 987, 55, 894 on a calculator?

You can find the GCD of 399, 987, 55, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.