GCD of 340, 114, 40, 666 Calculator

Given Input numbers are 340, 114, 40, 666

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 340, 114, 40, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 114, 40, 666 is 2.

Therefore, GCD of numbers 340, 114, 40, 666 is 2

Given Input Data is 340, 114, 40, 666

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(340, 114) = 19380

GCD(340, 114) = ( 340 x 114 ) / 19380

GCD(340, 114) = 38760 / 19380

GCD(340, 114) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 40

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

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

GCD(2, 40) = 80 / 40

GCD(2, 40) = 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 340, 114, 40, 666 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 477, 45, 791
• GCD of 619, 978, 27, 904
• GCD of 156, 742, 16, 477
• GCD of 760, 950, 43, 366
• GCD of 798, 546, 91, 104

1. What is the GCD of 340, 114, 40, 666?

GCD of 340, 114, 40, 666 is 2

2. Where do I get the detailed procedure to find GCD of 340, 114, 40, 666?

You can find a detailed procedure to find GCD of 340, 114, 40, 666 on our page.

3. How to find GCD of 340, 114, 40, 666 on a calculator?

You can find the GCD of 340, 114, 40, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.