GCD of 378, 224, 355 Calculator

Given Input numbers are 378, 224, 355

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

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 378, 224, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 224, 355 is 1.

Therefore, GCD of numbers 378, 224, 355 is 1

Given Input Data is 378, 224, 355

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

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 355 is 5 x 71

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(378, 224) = 6048

GCD(378, 224) = ( 378 x 224 ) / 6048

GCD(378, 224) = 84672 / 6048

GCD(378, 224) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 355

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

LCM(14, 355) = 4970

GCD(14, 355) = ( 14 x 355 ) / 4970

GCD(14, 355) = 4970 / 4970

GCD(14, 355) = 1

GCD of 378, 224, 355 is 1

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1. What is the GCD of 378, 224, 355?

GCD of 378, 224, 355 is 1

2. Where do I get the detailed procedure to find GCD of 378, 224, 355?

You can find a detailed procedure to find GCD of 378, 224, 355 on our page.

3. How to find GCD of 378, 224, 355 on a calculator?

You can find the GCD of 378, 224, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.