GCD of 384, 224, 265 Calculator

Given Input numbers are 384, 224, 265

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

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Greatest Common Divisior

We found the divisors of 384, 224, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 384, 224, 265 is 1.

Therefore, GCD of numbers 384, 224, 265 is 1

Given Input Data is 384, 224, 265

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

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 265 is 5 x 53

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(384, 224) = 2688

GCD(384, 224) = ( 384 x 224 ) / 2688

GCD(384, 224) = 86016 / 2688

GCD(384, 224) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 265

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

LCM(32, 265) = 8480

GCD(32, 265) = ( 32 x 265 ) / 8480

GCD(32, 265) = 8480 / 8480

GCD(32, 265) = 1

GCD of 384, 224, 265 is 1

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• GCD of 114, 695, 372
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1. What is the GCD of 384, 224, 265?

GCD of 384, 224, 265 is 1

2. Where do I get the detailed procedure to find GCD of 384, 224, 265?

You can find a detailed procedure to find GCD of 384, 224, 265 on our page.

3. How to find GCD of 384, 224, 265 on a calculator?

You can find the GCD of 384, 224, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.