GCD of 136, 328, 798, 454 Calculator

Given Input numbers are 136, 328, 798, 454

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 136, 328, 798, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 328, 798, 454 is 2.

Therefore, GCD of numbers 136, 328, 798, 454 is 2

Given Input Data is 136, 328, 798, 454

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 328 is 2 x 2 x 2 x 41

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 454 is 2 x 227

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, 328) = 5576

GCD(136, 328) = ( 136 x 328 ) / 5576

GCD(136, 328) = 44608 / 5576

GCD(136, 328) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 798

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

LCM(8, 798) = 3192

GCD(8, 798) = ( 8 x 798 ) / 3192

GCD(8, 798) = 6384 / 3192

GCD(8, 798) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 454

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

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

GCD(2, 454) = 908 / 454

GCD(2, 454) = 2

GCD of 136, 328, 798, 454 is 2

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1. What is the GCD of 136, 328, 798, 454?

GCD of 136, 328, 798, 454 is 2

2. Where do I get the detailed procedure to find GCD of 136, 328, 798, 454?

You can find a detailed procedure to find GCD of 136, 328, 798, 454 on our page.

3. How to find GCD of 136, 328, 798, 454 on a calculator?

You can find the GCD of 136, 328, 798, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.