GCD of 480, 256, 190, 711 Calculator

Given Input numbers are 480, 256, 190, 711

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 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Greatest Common Divisior

We found the divisors of 480, 256, 190, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 256, 190, 711 is 1.

Therefore, GCD of numbers 480, 256, 190, 711 is 1

Given Input Data is 480, 256, 190, 711

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 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 711 is 3 x 3 x 79

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, 256) = 3840

GCD(480, 256) = ( 480 x 256 ) / 3840

GCD(480, 256) = 122880 / 3840

GCD(480, 256) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 190

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

LCM(32, 190) = 3040

GCD(32, 190) = ( 32 x 190 ) / 3040

GCD(32, 190) = 6080 / 3040

GCD(32, 190) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 711

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

LCM(2, 711) = 1422

GCD(2, 711) = ( 2 x 711 ) / 1422

GCD(2, 711) = 1422 / 1422

GCD(2, 711) = 1

GCD of 480, 256, 190, 711 is 1

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1. What is the GCD of 480, 256, 190, 711?

GCD of 480, 256, 190, 711 is 1

2. Where do I get the detailed procedure to find GCD of 480, 256, 190, 711?

You can find a detailed procedure to find GCD of 480, 256, 190, 711 on our page.

3. How to find GCD of 480, 256, 190, 711 on a calculator?

You can find the GCD of 480, 256, 190, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.