GCD of 224, 254, 36, 446 Calculator

Given Input numbers are 224, 254, 36, 446

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 254

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

1, 2, 127, 254

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 224, 254, 36, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 254, 36, 446 is 2.

Therefore, GCD of numbers 224, 254, 36, 446 is 2

Given Input Data is 224, 254, 36, 446

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 254 is 2 x 127

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 446 is 2 x 223

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(224, 254) = 28448

GCD(224, 254) = ( 224 x 254 ) / 28448

GCD(224, 254) = 56896 / 28448

GCD(224, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 446

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

LCM(2, 446) = 446

GCD(2, 446) = ( 2 x 446 ) / 446

GCD(2, 446) = 892 / 446

GCD(2, 446) = 2

GCD of 224, 254, 36, 446 is 2

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1. What is the GCD of 224, 254, 36, 446?

GCD of 224, 254, 36, 446 is 2

2. Where do I get the detailed procedure to find GCD of 224, 254, 36, 446?

You can find a detailed procedure to find GCD of 224, 254, 36, 446 on our page.

3. How to find GCD of 224, 254, 36, 446 on a calculator?

You can find the GCD of 224, 254, 36, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.