GCD of 288, 761, 446 Calculator

Given Input numbers are 288, 761, 446

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 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 288, 761, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 288, 761, 446 is 1.

Therefore, GCD of numbers 288, 761, 446 is 1

Given Input Data is 288, 761, 446

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 761 is 761

Prime Factorization of 446 is 2 x 223

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, 761) = 219168

GCD(288, 761) = ( 288 x 761 ) / 219168

GCD(288, 761) = 219168 / 219168

GCD(288, 761) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 288, 761, 446 is 1

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1. What is the GCD of 288, 761, 446?

GCD of 288, 761, 446 is 1

2. Where do I get the detailed procedure to find GCD of 288, 761, 446?

You can find a detailed procedure to find GCD of 288, 761, 446 on our page.

3. How to find GCD of 288, 761, 446 on a calculator?

You can find the GCD of 288, 761, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.