GCD of 987, 437, 814 Calculator

Given Input numbers are 987, 437, 814

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 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 987, 437, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 437, 814 is 1.

Therefore, GCD of numbers 987, 437, 814 is 1

Given Input Data is 987, 437, 814

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 437 is 19 x 23

Prime Factorization of 814 is 2 x 11 x 37

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, 437) = 431319

GCD(987, 437) = ( 987 x 437 ) / 431319

GCD(987, 437) = 431319 / 431319

GCD(987, 437) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 987, 437, 814 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 884, 237
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1. What is the GCD of 987, 437, 814?

GCD of 987, 437, 814 is 1

2. Where do I get the detailed procedure to find GCD of 987, 437, 814?

You can find a detailed procedure to find GCD of 987, 437, 814 on our page.

3. How to find GCD of 987, 437, 814 on a calculator?

You can find the GCD of 987, 437, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.