GCD of 136, 606, 596, 128 Calculator

Given Input numbers are 136, 606, 596, 128

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 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 136, 606, 596, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 606, 596, 128 is 2.

Therefore, GCD of numbers 136, 606, 596, 128 is 2

Given Input Data is 136, 606, 596, 128

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 606 is 2 x 3 x 101

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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, 606) = 41208

GCD(136, 606) = ( 136 x 606 ) / 41208

GCD(136, 606) = 82416 / 41208

GCD(136, 606) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 596

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

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

GCD(2, 596) = 1192 / 596

GCD(2, 596) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 128

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

LCM(2, 128) = 128

GCD(2, 128) = ( 2 x 128 ) / 128

GCD(2, 128) = 256 / 128

GCD(2, 128) = 2

GCD of 136, 606, 596, 128 is 2

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1. What is the GCD of 136, 606, 596, 128?

GCD of 136, 606, 596, 128 is 2

2. Where do I get the detailed procedure to find GCD of 136, 606, 596, 128?

You can find a detailed procedure to find GCD of 136, 606, 596, 128 on our page.

3. How to find GCD of 136, 606, 596, 128 on a calculator?

You can find the GCD of 136, 606, 596, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.