GCD of 136, 480, 815, 442 Calculator

Given Input numbers are 136, 480, 815, 442

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 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 815

List of positive integer divisors of 815 that divides 815 without a remainder.

1, 5, 163, 815

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 136, 480, 815, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 480, 815, 442 is 1.

Therefore, GCD of numbers 136, 480, 815, 442 is 1

Given Input Data is 136, 480, 815, 442

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 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 815 is 5 x 163

Prime Factorization of 442 is 2 x 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 480) = 8160

GCD(136, 480) = ( 136 x 480 ) / 8160

GCD(136, 480) = 65280 / 8160

GCD(136, 480) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 815

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

LCM(8, 815) = 6520

GCD(8, 815) = ( 8 x 815 ) / 6520

GCD(8, 815) = 6520 / 6520

GCD(8, 815) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 136, 480, 815, 442 is 1

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1. What is the GCD of 136, 480, 815, 442?

GCD of 136, 480, 815, 442 is 1

2. Where do I get the detailed procedure to find GCD of 136, 480, 815, 442?

You can find a detailed procedure to find GCD of 136, 480, 815, 442 on our page.

3. How to find GCD of 136, 480, 815, 442 on a calculator?

You can find the GCD of 136, 480, 815, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.