GCD of 120, 183, 424, 470 Calculator

Given Input numbers are 120, 183, 424, 470

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

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 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 120, 183, 424, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 183, 424, 470 is 1.

Therefore, GCD of numbers 120, 183, 424, 470 is 1

Given Input Data is 120, 183, 424, 470

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

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 470 is 2 x 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(120, 183) = 7320

GCD(120, 183) = ( 120 x 183 ) / 7320

GCD(120, 183) = 21960 / 7320

GCD(120, 183) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 424

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

LCM(3, 424) = 1272

GCD(3, 424) = ( 3 x 424 ) / 1272

GCD(3, 424) = 1272 / 1272

GCD(3, 424) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 120, 183, 424, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 135, 698, 275
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• GCD of 315, 162, 945, 931
• GCD of 520, 234, 720, 836

1. What is the GCD of 120, 183, 424, 470?

GCD of 120, 183, 424, 470 is 1

2. Where do I get the detailed procedure to find GCD of 120, 183, 424, 470?

You can find a detailed procedure to find GCD of 120, 183, 424, 470 on our page.

3. How to find GCD of 120, 183, 424, 470 on a calculator?

You can find the GCD of 120, 183, 424, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.