GCD of 369, 442, 311, 278 Calculator

Given Input numbers are 369, 442, 311, 278

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 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Greatest Common Divisior

We found the divisors of 369, 442, 311, 278 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 442, 311, 278 is 1.

Therefore, GCD of numbers 369, 442, 311, 278 is 1

Given Input Data is 369, 442, 311, 278

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 442 is 2 x 13 x 17

Prime Factorization of 311 is 311

Prime Factorization of 278 is 2 x 139

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, 442) = 163098

GCD(369, 442) = ( 369 x 442 ) / 163098

GCD(369, 442) = 163098 / 163098

GCD(369, 442) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 278

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

LCM(1, 278) = 278

GCD(1, 278) = ( 1 x 278 ) / 278

GCD(1, 278) = 278 / 278

GCD(1, 278) = 1

GCD of 369, 442, 311, 278 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 932, 710, 450
• GCD of 206, 304, 904, 404
• GCD of 359, 539, 178, 690
• GCD of 767, 837, 931, 737
• GCD of 278, 471, 431, 712

1. What is the GCD of 369, 442, 311, 278?

GCD of 369, 442, 311, 278 is 1

2. Where do I get the detailed procedure to find GCD of 369, 442, 311, 278?

You can find a detailed procedure to find GCD of 369, 442, 311, 278 on our page.

3. How to find GCD of 369, 442, 311, 278 on a calculator?

You can find the GCD of 369, 442, 311, 278 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.