GCD of 480, 575, 60, 223 Calculator

Given Input numbers are 480, 575, 60, 223

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 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 223

List of positive integer divisors of 223 that divides 223 without a remainder.

1, 223

Greatest Common Divisior

We found the divisors of 480, 575, 60, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 575, 60, 223 is 1.

Therefore, GCD of numbers 480, 575, 60, 223 is 1

Given Input Data is 480, 575, 60, 223

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 575 is 5 x 5 x 23

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 223 is 223

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, 575) = 55200

GCD(480, 575) = ( 480 x 575 ) / 55200

GCD(480, 575) = 276000 / 55200

GCD(480, 575) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 60

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

LCM(5, 60) = 60

GCD(5, 60) = ( 5 x 60 ) / 60

GCD(5, 60) = 300 / 60

GCD(5, 60) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 223

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

LCM(5, 223) = 1115

GCD(5, 223) = ( 5 x 223 ) / 1115

GCD(5, 223) = 1115 / 1115

GCD(5, 223) = 1

GCD of 480, 575, 60, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 929, 40, 627
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• GCD of 199, 676, 14, 936

1. What is the GCD of 480, 575, 60, 223?

GCD of 480, 575, 60, 223 is 1

2. Where do I get the detailed procedure to find GCD of 480, 575, 60, 223?

You can find a detailed procedure to find GCD of 480, 575, 60, 223 on our page.

3. How to find GCD of 480, 575, 60, 223 on a calculator?

You can find the GCD of 480, 575, 60, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.