GCD of 385, 795, 289, 136 Calculator

Given Input numbers are 385, 795, 289, 136

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

Divisors of 385

List of positive integer divisors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 385, 795, 289, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 385, 795, 289, 136 is 1.

Therefore, GCD of numbers 385, 795, 289, 136 is 1

Given Input Data is 385, 795, 289, 136

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

Prime Factorization of 385 is 5 x 7 x 11

Prime Factorization of 795 is 3 x 5 x 53

Prime Factorization of 289 is 17 x 17

Prime Factorization of 136 is 2 x 2 x 2 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(385, 795) = 61215

GCD(385, 795) = ( 385 x 795 ) / 61215

GCD(385, 795) = 306075 / 61215

GCD(385, 795) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 289

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

LCM(5, 289) = 1445

GCD(5, 289) = ( 5 x 289 ) / 1445

GCD(5, 289) = 1445 / 1445

GCD(5, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 385, 795, 289, 136 is 1

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1. What is the GCD of 385, 795, 289, 136?

GCD of 385, 795, 289, 136 is 1

2. Where do I get the detailed procedure to find GCD of 385, 795, 289, 136?

You can find a detailed procedure to find GCD of 385, 795, 289, 136 on our page.

3. How to find GCD of 385, 795, 289, 136 on a calculator?

You can find the GCD of 385, 795, 289, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.