GCD of 987, 863, 75, 112 Calculator

Given Input numbers are 987, 863, 75, 112

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 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 987, 863, 75, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 863, 75, 112 is 1.

Therefore, GCD of numbers 987, 863, 75, 112 is 1

Given Input Data is 987, 863, 75, 112

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 863 is 863

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 112 is 2 x 2 x 2 x 2 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(987, 863) = 851781

GCD(987, 863) = ( 987 x 863 ) / 851781

GCD(987, 863) = 851781 / 851781

GCD(987, 863) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 987, 863, 75, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 346, 12, 802
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• GCD of 295, 843, 13, 231
• GCD of 643, 258, 93, 764
• GCD of 968, 923, 43, 912

1. What is the GCD of 987, 863, 75, 112?

GCD of 987, 863, 75, 112 is 1

2. Where do I get the detailed procedure to find GCD of 987, 863, 75, 112?

You can find a detailed procedure to find GCD of 987, 863, 75, 112 on our page.

3. How to find GCD of 987, 863, 75, 112 on a calculator?

You can find the GCD of 987, 863, 75, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.