GCD of 240, 294, 46, 133 Calculator

Given Input numbers are 240, 294, 46, 133

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 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Greatest Common Divisior

We found the divisors of 240, 294, 46, 133 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 294, 46, 133 is 1.

Therefore, GCD of numbers 240, 294, 46, 133 is 1

Given Input Data is 240, 294, 46, 133

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 294 is 2 x 3 x 7 x 7

Prime Factorization of 46 is 2 x 23

Prime Factorization of 133 is 7 x 19

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, 294) = 11760

GCD(240, 294) = ( 240 x 294 ) / 11760

GCD(240, 294) = 70560 / 11760

GCD(240, 294) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 46

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

LCM(6, 46) = 138

GCD(6, 46) = ( 6 x 46 ) / 138

GCD(6, 46) = 276 / 138

GCD(6, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 133

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

LCM(2, 133) = 266

GCD(2, 133) = ( 2 x 133 ) / 266

GCD(2, 133) = 266 / 266

GCD(2, 133) = 1

GCD of 240, 294, 46, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 571, 31, 746
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1. What is the GCD of 240, 294, 46, 133?

GCD of 240, 294, 46, 133 is 1

2. Where do I get the detailed procedure to find GCD of 240, 294, 46, 133?

You can find a detailed procedure to find GCD of 240, 294, 46, 133 on our page.

3. How to find GCD of 240, 294, 46, 133 on a calculator?

You can find the GCD of 240, 294, 46, 133 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.