GCD of 945, 199, 286 Calculator

Given Input numbers are 945, 199, 286

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Greatest Common Divisior

We found the divisors of 945, 199, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 199, 286 is 1.

Therefore, GCD of numbers 945, 199, 286 is 1

Given Input Data is 945, 199, 286

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 199 is 199

Prime Factorization of 286 is 2 x 11 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(945, 199) = 188055

GCD(945, 199) = ( 945 x 199 ) / 188055

GCD(945, 199) = 188055 / 188055

GCD(945, 199) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 945, 199, 286 is 1

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1. What is the GCD of 945, 199, 286?

GCD of 945, 199, 286 is 1

2. Where do I get the detailed procedure to find GCD of 945, 199, 286?

You can find a detailed procedure to find GCD of 945, 199, 286 on our page.

3. How to find GCD of 945, 199, 286 on a calculator?

You can find the GCD of 945, 199, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.