GCD of 443, 171, 120 Calculator

Given Input numbers are 443, 171, 120

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

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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

Greatest Common Divisior

We found the divisors of 443, 171, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 443, 171, 120 is 1.

Therefore, GCD of numbers 443, 171, 120 is 1

Given Input Data is 443, 171, 120

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

Prime Factorization of 443 is 443

Prime Factorization of 171 is 3 x 3 x 19

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

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(443, 171) = 75753

GCD(443, 171) = ( 443 x 171 ) / 75753

GCD(443, 171) = 75753 / 75753

GCD(443, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 443, 171, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 698, 987
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1. What is the GCD of 443, 171, 120?

GCD of 443, 171, 120 is 1

2. Where do I get the detailed procedure to find GCD of 443, 171, 120?

You can find a detailed procedure to find GCD of 443, 171, 120 on our page.

3. How to find GCD of 443, 171, 120 on a calculator?

You can find the GCD of 443, 171, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.