GCD of 699, 146, 113, 255 Calculator

Given Input numbers are 699, 146, 113, 255

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 699, 146, 113, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 146, 113, 255 is 1.

Therefore, GCD of numbers 699, 146, 113, 255 is 1

Given Input Data is 699, 146, 113, 255

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 146 is 2 x 73

Prime Factorization of 113 is 113

Prime Factorization of 255 is 3 x 5 x 17

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(699, 146) = 102054

GCD(699, 146) = ( 699 x 146 ) / 102054

GCD(699, 146) = 102054 / 102054

GCD(699, 146) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 699, 146, 113, 255 is 1

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1. What is the GCD of 699, 146, 113, 255?

GCD of 699, 146, 113, 255 is 1

2. Where do I get the detailed procedure to find GCD of 699, 146, 113, 255?

You can find a detailed procedure to find GCD of 699, 146, 113, 255 on our page.

3. How to find GCD of 699, 146, 113, 255 on a calculator?

You can find the GCD of 699, 146, 113, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.