GCD of 480, 964, 473, 281 Calculator

Given Input numbers are 480, 964, 473, 281

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Greatest Common Divisior

We found the divisors of 480, 964, 473, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 964, 473, 281 is 1.

Therefore, GCD of numbers 480, 964, 473, 281 is 1

Given Input Data is 480, 964, 473, 281

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 964 is 2 x 2 x 241

Prime Factorization of 473 is 11 x 43

Prime Factorization of 281 is 281

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, 964) = 115680

GCD(480, 964) = ( 480 x 964 ) / 115680

GCD(480, 964) = 462720 / 115680

GCD(480, 964) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 473

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

LCM(4, 473) = 1892

GCD(4, 473) = ( 4 x 473 ) / 1892

GCD(4, 473) = 1892 / 1892

GCD(4, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 281

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

LCM(1, 281) = 281

GCD(1, 281) = ( 1 x 281 ) / 281

GCD(1, 281) = 281 / 281

GCD(1, 281) = 1

GCD of 480, 964, 473, 281 is 1

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1. What is the GCD of 480, 964, 473, 281?

GCD of 480, 964, 473, 281 is 1

2. Where do I get the detailed procedure to find GCD of 480, 964, 473, 281?

You can find a detailed procedure to find GCD of 480, 964, 473, 281 on our page.

3. How to find GCD of 480, 964, 473, 281 on a calculator?

You can find the GCD of 480, 964, 473, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.