GCD of 248, 350, 556, 296 Calculator

Given Input numbers are 248, 350, 556, 296

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

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Greatest Common Divisior

We found the divisors of 248, 350, 556, 296 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 248, 350, 556, 296 is 2.

Therefore, GCD of numbers 248, 350, 556, 296 is 2

Given Input Data is 248, 350, 556, 296

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

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 296 is 2 x 2 x 2 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(248, 350) = 43400

GCD(248, 350) = ( 248 x 350 ) / 43400

GCD(248, 350) = 86800 / 43400

GCD(248, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

GCD of 248, 350, 556, 296 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 819, 734, 579
• GCD of 245, 456, 791, 842
• GCD of 333, 404, 270, 806
• GCD of 287, 438, 638, 339
• GCD of 355, 420, 194, 669

1. What is the GCD of 248, 350, 556, 296?

GCD of 248, 350, 556, 296 is 2

2. Where do I get the detailed procedure to find GCD of 248, 350, 556, 296?

You can find a detailed procedure to find GCD of 248, 350, 556, 296 on our page.

3. How to find GCD of 248, 350, 556, 296 on a calculator?

You can find the GCD of 248, 350, 556, 296 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.