GCD of 268, 796, 542, 382 Calculator

Given Input numbers are 268, 796, 542, 382

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

Divisors of 268

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

1, 2, 4, 67, 134, 268

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 382

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

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 268, 796, 542, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 796, 542, 382 is 2.

Therefore, GCD of numbers 268, 796, 542, 382 is 2

Given Input Data is 268, 796, 542, 382

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 542 is 2 x 271

Prime Factorization of 382 is 2 x 191

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(268, 796) = 53332

GCD(268, 796) = ( 268 x 796 ) / 53332

GCD(268, 796) = 213328 / 53332

GCD(268, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 542

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

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

GCD(4, 542) = 2168 / 1084

GCD(4, 542) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 382

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

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

GCD(2, 382) = 764 / 382

GCD(2, 382) = 2

GCD of 268, 796, 542, 382 is 2

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1. What is the GCD of 268, 796, 542, 382?

GCD of 268, 796, 542, 382 is 2

2. Where do I get the detailed procedure to find GCD of 268, 796, 542, 382?

You can find a detailed procedure to find GCD of 268, 796, 542, 382 on our page.

3. How to find GCD of 268, 796, 542, 382 on a calculator?

You can find the GCD of 268, 796, 542, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.