GCD of 136, 686, 812 Calculator

Given Input numbers are 136, 686, 812

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 812

List of positive integer divisors of 812 that divides 812 without a remainder.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Greatest Common Divisior

We found the divisors of 136, 686, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 136, 686, 812 is 2.

Therefore, GCD of numbers 136, 686, 812 is 2

Given Input Data is 136, 686, 812

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 686 is 2 x 7 x 7 x 7

Prime Factorization of 812 is 2 x 2 x 7 x 29

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, 686) = 46648

GCD(136, 686) = ( 136 x 686 ) / 46648

GCD(136, 686) = 93296 / 46648

GCD(136, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 812

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

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

GCD(2, 812) = 1624 / 812

GCD(2, 812) = 2

GCD of 136, 686, 812 is 2

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1. What is the GCD of 136, 686, 812?

GCD of 136, 686, 812 is 2

2. Where do I get the detailed procedure to find GCD of 136, 686, 812?

You can find a detailed procedure to find GCD of 136, 686, 812 on our page.

3. How to find GCD of 136, 686, 812 on a calculator?

You can find the GCD of 136, 686, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.