GCD of 370, 656, 224 Calculator

Given Input numbers are 370, 656, 224

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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

Greatest Common Divisior

We found the divisors of 370, 656, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 656, 224 is 2.

Therefore, GCD of numbers 370, 656, 224 is 2

Given Input Data is 370, 656, 224

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(370, 656) = 121360

GCD(370, 656) = ( 370 x 656 ) / 121360

GCD(370, 656) = 242720 / 121360

GCD(370, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 370, 656, 224 is 2

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1. What is the GCD of 370, 656, 224?

GCD of 370, 656, 224 is 2

2. Where do I get the detailed procedure to find GCD of 370, 656, 224?

You can find a detailed procedure to find GCD of 370, 656, 224 on our page.

3. How to find GCD of 370, 656, 224 on a calculator?

You can find the GCD of 370, 656, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.