GCD of 987, 390, 896, 993 Calculator

Given Input numbers are 987, 390, 896, 993

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 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 987, 390, 896, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 390, 896, 993 is 1.

Therefore, GCD of numbers 987, 390, 896, 993 is 1

Given Input Data is 987, 390, 896, 993

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 390 is 2 x 3 x 5 x 13

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 993 is 3 x 331

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, 390) = 128310

GCD(987, 390) = ( 987 x 390 ) / 128310

GCD(987, 390) = 384930 / 128310

GCD(987, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 896

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

LCM(3, 896) = 2688

GCD(3, 896) = ( 3 x 896 ) / 2688

GCD(3, 896) = 2688 / 2688

GCD(3, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 993

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

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

GCD(1, 993) = 993 / 993

GCD(1, 993) = 1

GCD of 987, 390, 896, 993 is 1

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1. What is the GCD of 987, 390, 896, 993?

GCD of 987, 390, 896, 993 is 1

2. Where do I get the detailed procedure to find GCD of 987, 390, 896, 993?

You can find a detailed procedure to find GCD of 987, 390, 896, 993 on our page.

3. How to find GCD of 987, 390, 896, 993 on a calculator?

You can find the GCD of 987, 390, 896, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.