GCD of 486, 259, 704, 669 Calculator

Given Input numbers are 486, 259, 704, 669

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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 486, 259, 704, 669 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 259, 704, 669 is 1.

Therefore, GCD of numbers 486, 259, 704, 669 is 1

Given Input Data is 486, 259, 704, 669

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 259 is 7 x 37

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

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(486, 259) = 125874

GCD(486, 259) = ( 486 x 259 ) / 125874

GCD(486, 259) = 125874 / 125874

GCD(486, 259) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 704

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

LCM(1, 704) = 704

GCD(1, 704) = ( 1 x 704 ) / 704

GCD(1, 704) = 704 / 704

GCD(1, 704) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

GCD of 486, 259, 704, 669 is 1

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1. What is the GCD of 486, 259, 704, 669?

GCD of 486, 259, 704, 669 is 1

2. Where do I get the detailed procedure to find GCD of 486, 259, 704, 669?

You can find a detailed procedure to find GCD of 486, 259, 704, 669 on our page.

3. How to find GCD of 486, 259, 704, 669 on a calculator?

You can find the GCD of 486, 259, 704, 669 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.