GCD of 873, 987, 10, 365 Calculator

Given Input numbers are 873, 987, 10, 365

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

Divisors of 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

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 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 873, 987, 10, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 987, 10, 365 is 1.

Therefore, GCD of numbers 873, 987, 10, 365 is 1

Given Input Data is 873, 987, 10, 365

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 10 is 2 x 5

Prime Factorization of 365 is 5 x 73

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(873, 987) = 287217

GCD(873, 987) = ( 873 x 987 ) / 287217

GCD(873, 987) = 861651 / 287217

GCD(873, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 10

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

LCM(3, 10) = 30

GCD(3, 10) = ( 3 x 10 ) / 30

GCD(3, 10) = 30 / 30

GCD(3, 10) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 873, 987, 10, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 831, 65, 940
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• GCD of 243, 555, 21, 457

1. What is the GCD of 873, 987, 10, 365?

GCD of 873, 987, 10, 365 is 1

2. Where do I get the detailed procedure to find GCD of 873, 987, 10, 365?

You can find a detailed procedure to find GCD of 873, 987, 10, 365 on our page.

3. How to find GCD of 873, 987, 10, 365 on a calculator?

You can find the GCD of 873, 987, 10, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.