GCD of 530, 310, 136, 666 Calculator

Given Input numbers are 530, 310, 136, 666

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

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

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 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Greatest Common Divisior

We found the divisors of 530, 310, 136, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 530, 310, 136, 666 is 2.

Therefore, GCD of numbers 530, 310, 136, 666 is 2

Given Input Data is 530, 310, 136, 666

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

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 666 is 2 x 3 x 3 x 37

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(530, 310) = 16430

GCD(530, 310) = ( 530 x 310 ) / 16430

GCD(530, 310) = 164300 / 16430

GCD(530, 310) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 136

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

LCM(10, 136) = 680

GCD(10, 136) = ( 10 x 136 ) / 680

GCD(10, 136) = 1360 / 680

GCD(10, 136) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 666

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

LCM(2, 666) = 666

GCD(2, 666) = ( 2 x 666 ) / 666

GCD(2, 666) = 1332 / 666

GCD(2, 666) = 2

GCD of 530, 310, 136, 666 is 2

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1. What is the GCD of 530, 310, 136, 666?

GCD of 530, 310, 136, 666 is 2

2. Where do I get the detailed procedure to find GCD of 530, 310, 136, 666?

You can find a detailed procedure to find GCD of 530, 310, 136, 666 on our page.

3. How to find GCD of 530, 310, 136, 666 on a calculator?

You can find the GCD of 530, 310, 136, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.