GCD of 987, 427, 27, 692 Calculator

Given Input numbers are 987, 427, 27, 692

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 987, 427, 27, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 427, 27, 692 is 1.

Therefore, GCD of numbers 987, 427, 27, 692 is 1

Given Input Data is 987, 427, 27, 692

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 427 is 7 x 61

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 692 is 2 x 2 x 173

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, 427) = 60207

GCD(987, 427) = ( 987 x 427 ) / 60207

GCD(987, 427) = 421449 / 60207

GCD(987, 427) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 27

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

LCM(7, 27) = 189

GCD(7, 27) = ( 7 x 27 ) / 189

GCD(7, 27) = 189 / 189

GCD(7, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 987, 427, 27, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 961, 25, 432
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• GCD of 927, 817, 50, 941

1. What is the GCD of 987, 427, 27, 692?

GCD of 987, 427, 27, 692 is 1

2. Where do I get the detailed procedure to find GCD of 987, 427, 27, 692?

You can find a detailed procedure to find GCD of 987, 427, 27, 692 on our page.

3. How to find GCD of 987, 427, 27, 692 on a calculator?

You can find the GCD of 987, 427, 27, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.