GCD of 288, 615, 87, 187 Calculator

Given Input numbers are 288, 615, 87, 187

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

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 615

List of positive integer divisors of 615 that divides 615 without a remainder.

1, 3, 5, 15, 41, 123, 205, 615

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Greatest Common Divisior

We found the divisors of 288, 615, 87, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 615, 87, 187 is 1.

Therefore, GCD of numbers 288, 615, 87, 187 is 1

Given Input Data is 288, 615, 87, 187

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

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

Prime Factorization of 615 is 3 x 5 x 41

Prime Factorization of 87 is 3 x 29

Prime Factorization of 187 is 11 x 17

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(288, 615) = 59040

GCD(288, 615) = ( 288 x 615 ) / 59040

GCD(288, 615) = 177120 / 59040

GCD(288, 615) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 87

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

LCM(3, 87) = 87

GCD(3, 87) = ( 3 x 87 ) / 87

GCD(3, 87) = 261 / 87

GCD(3, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 187

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

LCM(3, 187) = 561

GCD(3, 187) = ( 3 x 187 ) / 561

GCD(3, 187) = 561 / 561

GCD(3, 187) = 1

GCD of 288, 615, 87, 187 is 1

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• GCD of 910, 588, 90, 143
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1. What is the GCD of 288, 615, 87, 187?

GCD of 288, 615, 87, 187 is 1

2. Where do I get the detailed procedure to find GCD of 288, 615, 87, 187?

You can find a detailed procedure to find GCD of 288, 615, 87, 187 on our page.

3. How to find GCD of 288, 615, 87, 187 on a calculator?

You can find the GCD of 288, 615, 87, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.