GCD of 117, 874, 288 Calculator

Given Input numbers are 117, 874, 288

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

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

Greatest Common Divisior

We found the divisors of 117, 874, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 874, 288 is 1.

Therefore, GCD of numbers 117, 874, 288 is 1

Given Input Data is 117, 874, 288

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 874 is 2 x 19 x 23

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

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(117, 874) = 102258

GCD(117, 874) = ( 117 x 874 ) / 102258

GCD(117, 874) = 102258 / 102258

GCD(117, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 288

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

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

GCD(1, 288) = 288 / 288

GCD(1, 288) = 1

GCD of 117, 874, 288 is 1

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• GCD of 264, 315, 477
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1. What is the GCD of 117, 874, 288?

GCD of 117, 874, 288 is 1

2. Where do I get the detailed procedure to find GCD of 117, 874, 288?

You can find a detailed procedure to find GCD of 117, 874, 288 on our page.

3. How to find GCD of 117, 874, 288 on a calculator?

You can find the GCD of 117, 874, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.