GCD of 987, 413, 92, 304 Calculator

Given Input numbers are 987, 413, 92, 304

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Greatest Common Divisior

We found the divisors of 987, 413, 92, 304 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 987, 413, 92, 304 is 1.

Therefore, GCD of numbers 987, 413, 92, 304 is 1

Given Input Data is 987, 413, 92, 304

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 413 is 7 x 59

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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, 413) = 58233

GCD(987, 413) = ( 987 x 413 ) / 58233

GCD(987, 413) = 407631 / 58233

GCD(987, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 92

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

LCM(7, 92) = 644

GCD(7, 92) = ( 7 x 92 ) / 644

GCD(7, 92) = 644 / 644

GCD(7, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 304

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

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

GCD(1, 304) = 304 / 304

GCD(1, 304) = 1

GCD of 987, 413, 92, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 828, 34, 313
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• GCD of 446, 505, 20, 984
• GCD of 962, 161, 17, 209

1. What is the GCD of 987, 413, 92, 304?

GCD of 987, 413, 92, 304 is 1

2. Where do I get the detailed procedure to find GCD of 987, 413, 92, 304?

You can find a detailed procedure to find GCD of 987, 413, 92, 304 on our page.

3. How to find GCD of 987, 413, 92, 304 on a calculator?

You can find the GCD of 987, 413, 92, 304 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.