GCD of 628, 366, 498, 223 Calculator

Given Input numbers are 628, 366, 498, 223

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

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

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 628, 366, 498, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 628, 366, 498, 223 is 1.

Therefore, GCD of numbers 628, 366, 498, 223 is 1

Given Input Data is 628, 366, 498, 223

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

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 498 is 2 x 3 x 83

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(628, 366) = 114924

GCD(628, 366) = ( 628 x 366 ) / 114924

GCD(628, 366) = 229848 / 114924

GCD(628, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 498

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

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

GCD(2, 498) = 996 / 498

GCD(2, 498) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 223

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

LCM(2, 223) = 446

GCD(2, 223) = ( 2 x 223 ) / 446

GCD(2, 223) = 446 / 446

GCD(2, 223) = 1

GCD of 628, 366, 498, 223 is 1

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1. What is the GCD of 628, 366, 498, 223?

GCD of 628, 366, 498, 223 is 1

2. Where do I get the detailed procedure to find GCD of 628, 366, 498, 223?

You can find a detailed procedure to find GCD of 628, 366, 498, 223 on our page.

3. How to find GCD of 628, 366, 498, 223 on a calculator?

You can find the GCD of 628, 366, 498, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.