GCD of 930, 586, 136 Calculator

Given Input numbers are 930, 586, 136

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

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 930, 586, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 586, 136 is 2.

Therefore, GCD of numbers 930, 586, 136 is 2

Given Input Data is 930, 586, 136

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 586 is 2 x 293

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(930, 586) = 272490

GCD(930, 586) = ( 930 x 586 ) / 272490

GCD(930, 586) = 544980 / 272490

GCD(930, 586) = 2

Step2:

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 930, 586, 136 is 2

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1. What is the GCD of 930, 586, 136?

GCD of 930, 586, 136 is 2

2. Where do I get the detailed procedure to find GCD of 930, 586, 136?

You can find a detailed procedure to find GCD of 930, 586, 136 on our page.

3. How to find GCD of 930, 586, 136 on a calculator?

You can find the GCD of 930, 586, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.