GCD of 987, 795, 867, 998 Calculator

Given Input numbers are 987, 795, 867, 998

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 987, 795, 867, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 795, 867, 998 is 1.

Therefore, GCD of numbers 987, 795, 867, 998 is 1

Given Input Data is 987, 795, 867, 998

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 795 is 3 x 5 x 53

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 998 is 2 x 499

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, 795) = 261555

GCD(987, 795) = ( 987 x 795 ) / 261555

GCD(987, 795) = 784665 / 261555

GCD(987, 795) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 867

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

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

GCD(3, 867) = 2601 / 867

GCD(3, 867) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 998

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

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

GCD(3, 998) = 2994 / 2994

GCD(3, 998) = 1

GCD of 987, 795, 867, 998 is 1

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1. What is the GCD of 987, 795, 867, 998?

GCD of 987, 795, 867, 998 is 1

2. Where do I get the detailed procedure to find GCD of 987, 795, 867, 998?

You can find a detailed procedure to find GCD of 987, 795, 867, 998 on our page.

3. How to find GCD of 987, 795, 867, 998 on a calculator?

You can find the GCD of 987, 795, 867, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.