GCD of 483, 224, 470, 774 Calculator

Given Input numbers are 483, 224, 470, 774

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

Divisors of 483

List of positive integer divisors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 483, 224, 470, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 224, 470, 774 is 1.

Therefore, GCD of numbers 483, 224, 470, 774 is 1

Given Input Data is 483, 224, 470, 774

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

Prime Factorization of 483 is 3 x 7 x 23

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(483, 224) = 15456

GCD(483, 224) = ( 483 x 224 ) / 15456

GCD(483, 224) = 108192 / 15456

GCD(483, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 470

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

LCM(7, 470) = 3290

GCD(7, 470) = ( 7 x 470 ) / 3290

GCD(7, 470) = 3290 / 3290

GCD(7, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

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

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 483, 224, 470, 774 is 1

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1. What is the GCD of 483, 224, 470, 774?

GCD of 483, 224, 470, 774 is 1

2. Where do I get the detailed procedure to find GCD of 483, 224, 470, 774?

You can find a detailed procedure to find GCD of 483, 224, 470, 774 on our page.

3. How to find GCD of 483, 224, 470, 774 on a calculator?

You can find the GCD of 483, 224, 470, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.