GCD of 415, 288, 14, 987 Calculator

Given Input numbers are 415, 288, 14, 987

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Greatest Common Divisior

We found the divisors of 415, 288, 14, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 288, 14, 987 is 1.

Therefore, GCD of numbers 415, 288, 14, 987 is 1

Given Input Data is 415, 288, 14, 987

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 14 is 2 x 7

Prime Factorization of 987 is 3 x 7 x 47

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(415, 288) = 119520

GCD(415, 288) = ( 415 x 288 ) / 119520

GCD(415, 288) = 119520 / 119520

GCD(415, 288) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 987

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

LCM(1, 987) = 987

GCD(1, 987) = ( 1 x 987 ) / 987

GCD(1, 987) = 987 / 987

GCD(1, 987) = 1

GCD of 415, 288, 14, 987 is 1

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• GCD of 195, 676, 22, 213
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• GCD of 238, 503, 49, 923

1. What is the GCD of 415, 288, 14, 987?

GCD of 415, 288, 14, 987 is 1

2. Where do I get the detailed procedure to find GCD of 415, 288, 14, 987?

You can find a detailed procedure to find GCD of 415, 288, 14, 987 on our page.

3. How to find GCD of 415, 288, 14, 987 on a calculator?

You can find the GCD of 415, 288, 14, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.