GCD of 987, 747, 199, 384 Calculator

Given Input numbers are 987, 747, 199, 384

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

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 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

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 987, 747, 199, 384 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 747, 199, 384 is 1.

Therefore, GCD of numbers 987, 747, 199, 384 is 1

Given Input Data is 987, 747, 199, 384

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

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 747 is 3 x 3 x 83

Prime Factorization of 199 is 199

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(987, 747) = 245763

GCD(987, 747) = ( 987 x 747 ) / 245763

GCD(987, 747) = 737289 / 245763

GCD(987, 747) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 199

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

LCM(3, 199) = 597

GCD(3, 199) = ( 3 x 199 ) / 597

GCD(3, 199) = 597 / 597

GCD(3, 199) = 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 987, 747, 199, 384 is 1

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1. What is the GCD of 987, 747, 199, 384?

GCD of 987, 747, 199, 384 is 1

2. Where do I get the detailed procedure to find GCD of 987, 747, 199, 384?

You can find a detailed procedure to find GCD of 987, 747, 199, 384 on our page.

3. How to find GCD of 987, 747, 199, 384 on a calculator?

You can find the GCD of 987, 747, 199, 384 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.