GCD of 369, 756, 257, 444 Calculator

Given Input numbers are 369, 756, 257, 444

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

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

Greatest Common Divisior

We found the divisors of 369, 756, 257, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 756, 257, 444 is 1.

Therefore, GCD of numbers 369, 756, 257, 444 is 1

Given Input Data is 369, 756, 257, 444

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 257 is 257

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

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(369, 756) = 30996

GCD(369, 756) = ( 369 x 756 ) / 30996

GCD(369, 756) = 278964 / 30996

GCD(369, 756) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 257

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

LCM(9, 257) = 2313

GCD(9, 257) = ( 9 x 257 ) / 2313

GCD(9, 257) = 2313 / 2313

GCD(9, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 444

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

LCM(1, 444) = 444

GCD(1, 444) = ( 1 x 444 ) / 444

GCD(1, 444) = 444 / 444

GCD(1, 444) = 1

GCD of 369, 756, 257, 444 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 519, 974, 560, 130
• GCD of 741, 230, 382, 903
• GCD of 311, 520, 385, 106
• GCD of 482, 940, 558, 401
• GCD of 890, 142, 340, 176

1. What is the GCD of 369, 756, 257, 444?

GCD of 369, 756, 257, 444 is 1

2. Where do I get the detailed procedure to find GCD of 369, 756, 257, 444?

You can find a detailed procedure to find GCD of 369, 756, 257, 444 on our page.

3. How to find GCD of 369, 756, 257, 444 on a calculator?

You can find the GCD of 369, 756, 257, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.