GCD of 254, 444, 697, 704 Calculator

Given Input numbers are 254, 444, 697, 704

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

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

Greatest Common Divisior

We found the divisors of 254, 444, 697, 704 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 444, 697, 704 is 1.

Therefore, GCD of numbers 254, 444, 697, 704 is 1

Given Input Data is 254, 444, 697, 704

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 444 is 2 x 2 x 3 x 37

Prime Factorization of 697 is 17 x 41

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

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(254, 444) = 56388

GCD(254, 444) = ( 254 x 444 ) / 56388

GCD(254, 444) = 112776 / 56388

GCD(254, 444) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 697

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

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

GCD(2, 697) = 1394 / 1394

GCD(2, 697) = 1

Step3:

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

GCD of 254, 444, 697, 704 is 1

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1. What is the GCD of 254, 444, 697, 704?

GCD of 254, 444, 697, 704 is 1

2. Where do I get the detailed procedure to find GCD of 254, 444, 697, 704?

You can find a detailed procedure to find GCD of 254, 444, 697, 704 on our page.

3. How to find GCD of 254, 444, 697, 704 on a calculator?

You can find the GCD of 254, 444, 697, 704 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.