GCD of 298, 408, 42, 136 Calculator

Given Input numbers are 298, 408, 42, 136

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 136

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

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

Greatest Common Divisior

We found the divisors of 298, 408, 42, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 408, 42, 136 is 2.

Therefore, GCD of numbers 298, 408, 42, 136 is 2

Given Input Data is 298, 408, 42, 136

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

Prime Factorization of 298 is 2 x 149

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 42 is 2 x 3 x 7

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

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(298, 408) = 60792

GCD(298, 408) = ( 298 x 408 ) / 60792

GCD(298, 408) = 121584 / 60792

GCD(298, 408) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 136

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

LCM(2, 136) = 136

GCD(2, 136) = ( 2 x 136 ) / 136

GCD(2, 136) = 272 / 136

GCD(2, 136) = 2

GCD of 298, 408, 42, 136 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 248, 45, 596
• GCD of 526, 456, 11, 763
• GCD of 356, 311, 99, 453
• GCD of 474, 122, 69, 471
• GCD of 154, 745, 52, 132

1. What is the GCD of 298, 408, 42, 136?

GCD of 298, 408, 42, 136 is 2

2. Where do I get the detailed procedure to find GCD of 298, 408, 42, 136?

You can find a detailed procedure to find GCD of 298, 408, 42, 136 on our page.

3. How to find GCD of 298, 408, 42, 136 on a calculator?

You can find the GCD of 298, 408, 42, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.