GCD of 116, 667, 240, 389 Calculator

Given Input numbers are 116, 667, 240, 389

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

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

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 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Greatest Common Divisior

We found the divisors of 116, 667, 240, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 667, 240, 389 is 1.

Therefore, GCD of numbers 116, 667, 240, 389 is 1

Given Input Data is 116, 667, 240, 389

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 667 is 23 x 29

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

Prime Factorization of 389 is 389

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(116, 667) = 2668

GCD(116, 667) = ( 116 x 667 ) / 2668

GCD(116, 667) = 77372 / 2668

GCD(116, 667) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 240

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

LCM(29, 240) = 6960

GCD(29, 240) = ( 29 x 240 ) / 6960

GCD(29, 240) = 6960 / 6960

GCD(29, 240) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 389

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

LCM(1, 389) = 389

GCD(1, 389) = ( 1 x 389 ) / 389

GCD(1, 389) = 389 / 389

GCD(1, 389) = 1

GCD of 116, 667, 240, 389 is 1

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1. What is the GCD of 116, 667, 240, 389?

GCD of 116, 667, 240, 389 is 1

2. Where do I get the detailed procedure to find GCD of 116, 667, 240, 389?

You can find a detailed procedure to find GCD of 116, 667, 240, 389 on our page.

3. How to find GCD of 116, 667, 240, 389 on a calculator?

You can find the GCD of 116, 667, 240, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.