GCD of 298, 504, 56, 669 Calculator

Given Input numbers are 298, 504, 56, 669

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Greatest Common Divisior

We found the divisors of 298, 504, 56, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 504, 56, 669 is 1.

Therefore, GCD of numbers 298, 504, 56, 669 is 1

Given Input Data is 298, 504, 56, 669

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 669 is 3 x 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(298, 504) = 75096

GCD(298, 504) = ( 298 x 504 ) / 75096

GCD(298, 504) = 150192 / 75096

GCD(298, 504) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

GCD of 298, 504, 56, 669 is 1

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1. What is the GCD of 298, 504, 56, 669?

GCD of 298, 504, 56, 669 is 1

2. Where do I get the detailed procedure to find GCD of 298, 504, 56, 669?

You can find a detailed procedure to find GCD of 298, 504, 56, 669 on our page.

3. How to find GCD of 298, 504, 56, 669 on a calculator?

You can find the GCD of 298, 504, 56, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.