GCD of 749, 108, 288 Calculator

Given Input numbers are 749, 108, 288

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 749, 108, 288 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 108, 288 is 1.

Therefore, GCD of numbers 749, 108, 288 is 1

Given Input Data is 749, 108, 288

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(749, 108) = 80892

GCD(749, 108) = ( 749 x 108 ) / 80892

GCD(749, 108) = 80892 / 80892

GCD(749, 108) = 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 749, 108, 288 is 1

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1. What is the GCD of 749, 108, 288?

GCD of 749, 108, 288 is 1

2. Where do I get the detailed procedure to find GCD of 749, 108, 288?

You can find a detailed procedure to find GCD of 749, 108, 288 on our page.

3. How to find GCD of 749, 108, 288 on a calculator?

You can find the GCD of 749, 108, 288 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.