GCD of 480, 386, 402, 163 Calculator

Given Input numbers are 480, 386, 402, 163

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 163

List of positive integer divisors of 163 that divides 163 without a remainder.

1, 163

Greatest Common Divisior

We found the divisors of 480, 386, 402, 163 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 386, 402, 163 is 1.

Therefore, GCD of numbers 480, 386, 402, 163 is 1

Given Input Data is 480, 386, 402, 163

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 386 is 2 x 193

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 163 is 163

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(480, 386) = 92640

GCD(480, 386) = ( 480 x 386 ) / 92640

GCD(480, 386) = 185280 / 92640

GCD(480, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 402

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

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

GCD(2, 402) = 804 / 402

GCD(2, 402) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 163

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

LCM(2, 163) = 326

GCD(2, 163) = ( 2 x 163 ) / 326

GCD(2, 163) = 326 / 326

GCD(2, 163) = 1

GCD of 480, 386, 402, 163 is 1

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1. What is the GCD of 480, 386, 402, 163?

GCD of 480, 386, 402, 163 is 1

2. Where do I get the detailed procedure to find GCD of 480, 386, 402, 163?

You can find a detailed procedure to find GCD of 480, 386, 402, 163 on our page.

3. How to find GCD of 480, 386, 402, 163 on a calculator?

You can find the GCD of 480, 386, 402, 163 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.