GCD of 987, 699, 15, 723 Calculator

Given Input numbers are 987, 699, 15, 723

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 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Greatest Common Divisior

We found the divisors of 987, 699, 15, 723 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 699, 15, 723 is 3.

Therefore, GCD of numbers 987, 699, 15, 723 is 3

Given Input Data is 987, 699, 15, 723

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 699 is 3 x 233

Prime Factorization of 15 is 3 x 5

Prime Factorization of 723 is 3 x 241

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 699) = 229971

GCD(987, 699) = ( 987 x 699 ) / 229971

GCD(987, 699) = 689913 / 229971

GCD(987, 699) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 723

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

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

GCD(3, 723) = 2169 / 723

GCD(3, 723) = 3

GCD of 987, 699, 15, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 999, 53, 904
• GCD of 253, 668, 81, 312
• GCD of 805, 472, 70, 743
• GCD of 769, 372, 76, 980
• GCD of 306, 684, 45, 315

1. What is the GCD of 987, 699, 15, 723?

GCD of 987, 699, 15, 723 is 3

2. Where do I get the detailed procedure to find GCD of 987, 699, 15, 723?

You can find a detailed procedure to find GCD of 987, 699, 15, 723 on our page.

3. How to find GCD of 987, 699, 15, 723 on a calculator?

You can find the GCD of 987, 699, 15, 723 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.