GCD of 705, 431, 14, 199 Calculator

Given Input numbers are 705, 431, 14, 199

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 199

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

1, 199

Greatest Common Divisior

We found the divisors of 705, 431, 14, 199 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 431, 14, 199 is 1.

Therefore, GCD of numbers 705, 431, 14, 199 is 1

Given Input Data is 705, 431, 14, 199

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 431 is 431

Prime Factorization of 14 is 2 x 7

Prime Factorization of 199 is 199

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(705, 431) = 303855

GCD(705, 431) = ( 705 x 431 ) / 303855

GCD(705, 431) = 303855 / 303855

GCD(705, 431) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 199

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

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

GCD(1, 199) = 199 / 199

GCD(1, 199) = 1

GCD of 705, 431, 14, 199 is 1

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1. What is the GCD of 705, 431, 14, 199?

GCD of 705, 431, 14, 199 is 1

2. Where do I get the detailed procedure to find GCD of 705, 431, 14, 199?

You can find a detailed procedure to find GCD of 705, 431, 14, 199 on our page.

3. How to find GCD of 705, 431, 14, 199 on a calculator?

You can find the GCD of 705, 431, 14, 199 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.