GCD of 444, 120, 71, 235 Calculator

Given Input numbers are 444, 120, 71, 235

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

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 444, 120, 71, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 120, 71, 235 is 1.

Therefore, GCD of numbers 444, 120, 71, 235 is 1

Given Input Data is 444, 120, 71, 235

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

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 71 is 71

Prime Factorization of 235 is 5 x 47

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(444, 120) = 4440

GCD(444, 120) = ( 444 x 120 ) / 4440

GCD(444, 120) = 53280 / 4440

GCD(444, 120) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 71

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

LCM(12, 71) = 852

GCD(12, 71) = ( 12 x 71 ) / 852

GCD(12, 71) = 852 / 852

GCD(12, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 444, 120, 71, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 350, 105, 53, 170
• GCD of 254, 950, 14, 174
• GCD of 728, 267, 53, 593
• GCD of 831, 271, 33, 119
• GCD of 345, 546, 28, 786

1. What is the GCD of 444, 120, 71, 235?

GCD of 444, 120, 71, 235 is 1

2. Where do I get the detailed procedure to find GCD of 444, 120, 71, 235?

You can find a detailed procedure to find GCD of 444, 120, 71, 235 on our page.

3. How to find GCD of 444, 120, 71, 235 on a calculator?

You can find the GCD of 444, 120, 71, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.