GCD of 488, 278, 14, 611 Calculator

Given Input numbers are 488, 278, 14, 611

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 278

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

1, 2, 139, 278

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 611

List of positive integer divisors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Greatest Common Divisior

We found the divisors of 488, 278, 14, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 278, 14, 611 is 1.

Therefore, GCD of numbers 488, 278, 14, 611 is 1

Given Input Data is 488, 278, 14, 611

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 278 is 2 x 139

Prime Factorization of 14 is 2 x 7

Prime Factorization of 611 is 13 x 47

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(488, 278) = 67832

GCD(488, 278) = ( 488 x 278 ) / 67832

GCD(488, 278) = 135664 / 67832

GCD(488, 278) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 611

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

LCM(2, 611) = 1222

GCD(2, 611) = ( 2 x 611 ) / 1222

GCD(2, 611) = 1222 / 1222

GCD(2, 611) = 1

GCD of 488, 278, 14, 611 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 479, 615, 52, 228
• GCD of 645, 280, 31, 342
• GCD of 830, 581, 55, 349
• GCD of 702, 815, 51, 265
• GCD of 344, 530, 19, 836

1. What is the GCD of 488, 278, 14, 611?

GCD of 488, 278, 14, 611 is 1

2. Where do I get the detailed procedure to find GCD of 488, 278, 14, 611?

You can find a detailed procedure to find GCD of 488, 278, 14, 611 on our page.

3. How to find GCD of 488, 278, 14, 611 on a calculator?

You can find the GCD of 488, 278, 14, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.