GCD of 175, 224, 34, 381 Calculator

Given Input numbers are 175, 224, 34, 381

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

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

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 34

List of positive integer divisors of 34 that divides 34 without a remainder.

1, 2, 17, 34

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 175, 224, 34, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 175, 224, 34, 381 is 1.

Therefore, GCD of numbers 175, 224, 34, 381 is 1

Given Input Data is 175, 224, 34, 381

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

Prime Factorization of 175 is 5 x 5 x 7

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

Prime Factorization of 34 is 2 x 17

Prime Factorization of 381 is 3 x 127

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(175, 224) = 5600

GCD(175, 224) = ( 175 x 224 ) / 5600

GCD(175, 224) = 39200 / 5600

GCD(175, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 34

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

LCM(7, 34) = 238

GCD(7, 34) = ( 7 x 34 ) / 238

GCD(7, 34) = 238 / 238

GCD(7, 34) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 381

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

LCM(1, 381) = 381

GCD(1, 381) = ( 1 x 381 ) / 381

GCD(1, 381) = 381 / 381

GCD(1, 381) = 1

GCD of 175, 224, 34, 381 is 1

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1. What is the GCD of 175, 224, 34, 381?

GCD of 175, 224, 34, 381 is 1

2. Where do I get the detailed procedure to find GCD of 175, 224, 34, 381?

You can find a detailed procedure to find GCD of 175, 224, 34, 381 on our page.

3. How to find GCD of 175, 224, 34, 381 on a calculator?

You can find the GCD of 175, 224, 34, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.