GCD of 136, 526, 116, 294 Calculator

Given Input numbers are 136, 526, 116, 294

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

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 136, 526, 116, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 526, 116, 294 is 2.

Therefore, GCD of numbers 136, 526, 116, 294 is 2

Given Input Data is 136, 526, 116, 294

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

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 526 is 2 x 263

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 294 is 2 x 3 x 7 x 7

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(136, 526) = 35768

GCD(136, 526) = ( 136 x 526 ) / 35768

GCD(136, 526) = 71536 / 35768

GCD(136, 526) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 116

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

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

GCD(2, 116) = 232 / 116

GCD(2, 116) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 294

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

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

GCD(2, 294) = 588 / 294

GCD(2, 294) = 2

GCD of 136, 526, 116, 294 is 2

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1. What is the GCD of 136, 526, 116, 294?

GCD of 136, 526, 116, 294 is 2

2. Where do I get the detailed procedure to find GCD of 136, 526, 116, 294?

You can find a detailed procedure to find GCD of 136, 526, 116, 294 on our page.

3. How to find GCD of 136, 526, 116, 294 on a calculator?

You can find the GCD of 136, 526, 116, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.