GCD of 240, 133, 854, 117 Calculator

Given Input numbers are 240, 133, 854, 117

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 133

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

1, 7, 19, 133

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 240, 133, 854, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 240, 133, 854, 117 is 1.

Therefore, GCD of numbers 240, 133, 854, 117 is 1

Given Input Data is 240, 133, 854, 117

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 133 is 7 x 19

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 117 is 3 x 3 x 13

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, 133) = 31920

GCD(240, 133) = ( 240 x 133 ) / 31920

GCD(240, 133) = 31920 / 31920

GCD(240, 133) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 854

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

LCM(1, 854) = 854

GCD(1, 854) = ( 1 x 854 ) / 854

GCD(1, 854) = 854 / 854

GCD(1, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 117

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

LCM(1, 117) = 117

GCD(1, 117) = ( 1 x 117 ) / 117

GCD(1, 117) = 117 / 117

GCD(1, 117) = 1

GCD of 240, 133, 854, 117 is 1

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• GCD of 473, 231, 731, 980
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1. What is the GCD of 240, 133, 854, 117?

GCD of 240, 133, 854, 117 is 1

2. Where do I get the detailed procedure to find GCD of 240, 133, 854, 117?

You can find a detailed procedure to find GCD of 240, 133, 854, 117 on our page.

3. How to find GCD of 240, 133, 854, 117 on a calculator?

You can find the GCD of 240, 133, 854, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.