GCD of 278, 254, 11, 474 Calculator

Given Input numbers are 278, 254, 11, 474

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 254

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

1, 2, 127, 254

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Greatest Common Divisior

We found the divisors of 278, 254, 11, 474 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 278, 254, 11, 474 is 1.

Therefore, GCD of numbers 278, 254, 11, 474 is 1

Given Input Data is 278, 254, 11, 474

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

Prime Factorization of 278 is 2 x 139

Prime Factorization of 254 is 2 x 127

Prime Factorization of 11 is 11

Prime Factorization of 474 is 2 x 3 x 79

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, 254) = 35306

GCD(278, 254) = ( 278 x 254 ) / 35306

GCD(278, 254) = 70612 / 35306

GCD(278, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 11

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

LCM(2, 11) = 22

GCD(2, 11) = ( 2 x 11 ) / 22

GCD(2, 11) = 22 / 22

GCD(2, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 474

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

LCM(1, 474) = 474

GCD(1, 474) = ( 1 x 474 ) / 474

GCD(1, 474) = 474 / 474

GCD(1, 474) = 1

GCD of 278, 254, 11, 474 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 494, 50, 223
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• GCD of 786, 621, 64, 826

1. What is the GCD of 278, 254, 11, 474?

GCD of 278, 254, 11, 474 is 1

2. Where do I get the detailed procedure to find GCD of 278, 254, 11, 474?

You can find a detailed procedure to find GCD of 278, 254, 11, 474 on our page.

3. How to find GCD of 278, 254, 11, 474 on a calculator?

You can find the GCD of 278, 254, 11, 474 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.