GCD of 240, 714, 820, 333 Calculator

Given Input numbers are 240, 714, 820, 333

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

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 333

List of positive integer divisors of 333 that divides 333 without a remainder.

1, 3, 9, 37, 111, 333

Greatest Common Divisior

We found the divisors of 240, 714, 820, 333 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 714, 820, 333 is 1.

Therefore, GCD of numbers 240, 714, 820, 333 is 1

Given Input Data is 240, 714, 820, 333

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

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 333 is 3 x 3 x 37

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(240, 714) = 28560

GCD(240, 714) = ( 240 x 714 ) / 28560

GCD(240, 714) = 171360 / 28560

GCD(240, 714) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 820

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

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

GCD(6, 820) = 4920 / 2460

GCD(6, 820) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 333

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

LCM(2, 333) = 666

GCD(2, 333) = ( 2 x 333 ) / 666

GCD(2, 333) = 666 / 666

GCD(2, 333) = 1

GCD of 240, 714, 820, 333 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 982, 955, 801
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• GCD of 516, 255, 155, 755

1. What is the GCD of 240, 714, 820, 333?

GCD of 240, 714, 820, 333 is 1

2. Where do I get the detailed procedure to find GCD of 240, 714, 820, 333?

You can find a detailed procedure to find GCD of 240, 714, 820, 333 on our page.

3. How to find GCD of 240, 714, 820, 333 on a calculator?

You can find the GCD of 240, 714, 820, 333 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.