GCD of 278, 382, 378, 293 Calculator

Given Input numbers are 278, 382, 378, 293

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

Divisors of 278

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

1, 2, 139, 278

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 293

List of positive integer divisors of 293 that divides 293 without a remainder.

1, 293

Greatest Common Divisior

We found the divisors of 278, 382, 378, 293 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 382, 378, 293 is 1.

Therefore, GCD of numbers 278, 382, 378, 293 is 1

Given Input Data is 278, 382, 378, 293

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 382 is 2 x 191

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 293 is 293

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(278, 382) = 53098

GCD(278, 382) = ( 278 x 382 ) / 53098

GCD(278, 382) = 106196 / 53098

GCD(278, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 378

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

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

GCD(2, 378) = 756 / 378

GCD(2, 378) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 293

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

LCM(2, 293) = 586

GCD(2, 293) = ( 2 x 293 ) / 586

GCD(2, 293) = 586 / 586

GCD(2, 293) = 1

GCD of 278, 382, 378, 293 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 309, 428, 888
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• GCD of 917, 448, 327, 990
• GCD of 409, 980, 125, 713
• GCD of 675, 977, 156, 774

1. What is the GCD of 278, 382, 378, 293?

GCD of 278, 382, 378, 293 is 1

2. Where do I get the detailed procedure to find GCD of 278, 382, 378, 293?

You can find a detailed procedure to find GCD of 278, 382, 378, 293 on our page.

3. How to find GCD of 278, 382, 378, 293 on a calculator?

You can find the GCD of 278, 382, 378, 293 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.