GCD of 796, 550, 584, 268 Calculator

Given Input numbers are 796, 550, 584, 268

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 796, 550, 584, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 550, 584, 268 is 2.

Therefore, GCD of numbers 796, 550, 584, 268 is 2

Given Input Data is 796, 550, 584, 268

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 268 is 2 x 2 x 67

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(796, 550) = 218900

GCD(796, 550) = ( 796 x 550 ) / 218900

GCD(796, 550) = 437800 / 218900

GCD(796, 550) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 268

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

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

GCD(2, 268) = 536 / 268

GCD(2, 268) = 2

GCD of 796, 550, 584, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 434, 505, 587, 821
• GCD of 856, 992, 603, 116
• GCD of 960, 547, 499, 738
• GCD of 473, 108, 442, 599
• GCD of 205, 321, 474, 650

1. What is the GCD of 796, 550, 584, 268?

GCD of 796, 550, 584, 268 is 2

2. Where do I get the detailed procedure to find GCD of 796, 550, 584, 268?

You can find a detailed procedure to find GCD of 796, 550, 584, 268 on our page.

3. How to find GCD of 796, 550, 584, 268 on a calculator?

You can find the GCD of 796, 550, 584, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.