GCD of 144, 224, 137 Calculator

Given Input numbers are 144, 224, 137

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

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 144, 224, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 224, 137 is 1.

Therefore, GCD of numbers 144, 224, 137 is 1

Given Input Data is 144, 224, 137

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

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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

Prime Factorization of 137 is 137

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(144, 224) = 2016

GCD(144, 224) = ( 144 x 224 ) / 2016

GCD(144, 224) = 32256 / 2016

GCD(144, 224) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 137

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

LCM(16, 137) = 2192

GCD(16, 137) = ( 16 x 137 ) / 2192

GCD(16, 137) = 2192 / 2192

GCD(16, 137) = 1

GCD of 144, 224, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 572, 832
• GCD of 715, 440, 359
• GCD of 183, 448, 610
• GCD of 156, 700, 253
• GCD of 804, 301, 555

1. What is the GCD of 144, 224, 137?

GCD of 144, 224, 137 is 1

2. Where do I get the detailed procedure to find GCD of 144, 224, 137?

You can find a detailed procedure to find GCD of 144, 224, 137 on our page.

3. How to find GCD of 144, 224, 137 on a calculator?

You can find the GCD of 144, 224, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.