GCD of 176, 427, 144 Calculator

Given Input numbers are 176, 427, 144

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

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

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

Greatest Common Divisior

We found the divisors of 176, 427, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 427, 144 is 1.

Therefore, GCD of numbers 176, 427, 144 is 1

Given Input Data is 176, 427, 144

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

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 427 is 7 x 61

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

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(176, 427) = 75152

GCD(176, 427) = ( 176 x 427 ) / 75152

GCD(176, 427) = 75152 / 75152

GCD(176, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 176, 427, 144 is 1

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1. What is the GCD of 176, 427, 144?

GCD of 176, 427, 144 is 1

2. Where do I get the detailed procedure to find GCD of 176, 427, 144?

You can find a detailed procedure to find GCD of 176, 427, 144 on our page.

3. How to find GCD of 176, 427, 144 on a calculator?

You can find the GCD of 176, 427, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.