GCD of 574, 311, 105, 480 Calculator

Given Input numbers are 574, 311, 105, 480

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

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

Greatest Common Divisior

We found the divisors of 574, 311, 105, 480 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 311, 105, 480 is 1.

Therefore, GCD of numbers 574, 311, 105, 480 is 1

Given Input Data is 574, 311, 105, 480

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 311 is 311

Prime Factorization of 105 is 3 x 5 x 7

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

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(574, 311) = 178514

GCD(574, 311) = ( 574 x 311 ) / 178514

GCD(574, 311) = 178514 / 178514

GCD(574, 311) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 480

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

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

GCD(1, 480) = 480 / 480

GCD(1, 480) = 1

GCD of 574, 311, 105, 480 is 1

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1. What is the GCD of 574, 311, 105, 480?

GCD of 574, 311, 105, 480 is 1

2. Where do I get the detailed procedure to find GCD of 574, 311, 105, 480?

You can find a detailed procedure to find GCD of 574, 311, 105, 480 on our page.

3. How to find GCD of 574, 311, 105, 480 on a calculator?

You can find the GCD of 574, 311, 105, 480 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.