GCD of 136, 904, 302, 186 Calculator

Given Input numbers are 136, 904, 302, 186

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 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 186

List of positive integer divisors of 186 that divides 186 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186

Greatest Common Divisior

We found the divisors of 136, 904, 302, 186 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 904, 302, 186 is 2.

Therefore, GCD of numbers 136, 904, 302, 186 is 2

Given Input Data is 136, 904, 302, 186

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 904 is 2 x 2 x 2 x 113

Prime Factorization of 302 is 2 x 151

Prime Factorization of 186 is 2 x 3 x 31

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, 904) = 15368

GCD(136, 904) = ( 136 x 904 ) / 15368

GCD(136, 904) = 122944 / 15368

GCD(136, 904) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 302

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

LCM(8, 302) = 1208

GCD(8, 302) = ( 8 x 302 ) / 1208

GCD(8, 302) = 2416 / 1208

GCD(8, 302) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 186

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

LCM(2, 186) = 186

GCD(2, 186) = ( 2 x 186 ) / 186

GCD(2, 186) = 372 / 186

GCD(2, 186) = 2

GCD of 136, 904, 302, 186 is 2

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1. What is the GCD of 136, 904, 302, 186?

GCD of 136, 904, 302, 186 is 2

2. Where do I get the detailed procedure to find GCD of 136, 904, 302, 186?

You can find a detailed procedure to find GCD of 136, 904, 302, 186 on our page.

3. How to find GCD of 136, 904, 302, 186 on a calculator?

You can find the GCD of 136, 904, 302, 186 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.