GCD of 224, 825, 34 Calculator

Given Input numbers are 224, 825, 34

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

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 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 34

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

1, 2, 17, 34

Greatest Common Divisior

We found the divisors of 224, 825, 34 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 825, 34 is 1.

Therefore, GCD of numbers 224, 825, 34 is 1

Given Input Data is 224, 825, 34

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

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

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 34 is 2 x 17

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(224, 825) = 184800

GCD(224, 825) = ( 224 x 825 ) / 184800

GCD(224, 825) = 184800 / 184800

GCD(224, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 34

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

LCM(1, 34) = 34

GCD(1, 34) = ( 1 x 34 ) / 34

GCD(1, 34) = 34 / 34

GCD(1, 34) = 1

GCD of 224, 825, 34 is 1

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1. What is the GCD of 224, 825, 34?

GCD of 224, 825, 34 is 1

2. Where do I get the detailed procedure to find GCD of 224, 825, 34?

You can find a detailed procedure to find GCD of 224, 825, 34 on our page.

3. How to find GCD of 224, 825, 34 on a calculator?

You can find the GCD of 224, 825, 34 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.