GCD of 134, 106, 274, 796 Calculator

Given Input numbers are 134, 106, 274, 796

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 796

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

1, 2, 4, 199, 398, 796

Greatest Common Divisior

We found the divisors of 134, 106, 274, 796 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 106, 274, 796 is 2.

Therefore, GCD of numbers 134, 106, 274, 796 is 2

Given Input Data is 134, 106, 274, 796

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 106 is 2 x 53

Prime Factorization of 274 is 2 x 137

Prime Factorization of 796 is 2 x 2 x 199

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(134, 106) = 7102

GCD(134, 106) = ( 134 x 106 ) / 7102

GCD(134, 106) = 14204 / 7102

GCD(134, 106) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 274

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

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

GCD(2, 274) = 548 / 274

GCD(2, 274) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 796

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

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

GCD(2, 796) = 1592 / 796

GCD(2, 796) = 2

GCD of 134, 106, 274, 796 is 2

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1. What is the GCD of 134, 106, 274, 796?

GCD of 134, 106, 274, 796 is 2

2. Where do I get the detailed procedure to find GCD of 134, 106, 274, 796?

You can find a detailed procedure to find GCD of 134, 106, 274, 796 on our page.

3. How to find GCD of 134, 106, 274, 796 on a calculator?

You can find the GCD of 134, 106, 274, 796 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.