GCD of 224, 161, 254 Calculator

Given Input numbers are 224, 161, 254

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 224, 161, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 161, 254 is 1.

Therefore, GCD of numbers 224, 161, 254 is 1

Given Input Data is 224, 161, 254

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 161 is 7 x 23

Prime Factorization of 254 is 2 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(224, 161) = 5152

GCD(224, 161) = ( 224 x 161 ) / 5152

GCD(224, 161) = 36064 / 5152

GCD(224, 161) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 254

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

LCM(7, 254) = 1778

GCD(7, 254) = ( 7 x 254 ) / 1778

GCD(7, 254) = 1778 / 1778

GCD(7, 254) = 1

GCD of 224, 161, 254 is 1

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1. What is the GCD of 224, 161, 254?

GCD of 224, 161, 254 is 1

2. Where do I get the detailed procedure to find GCD of 224, 161, 254?

You can find a detailed procedure to find GCD of 224, 161, 254 on our page.

3. How to find GCD of 224, 161, 254 on a calculator?

You can find the GCD of 224, 161, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.