GCD of 506, 700, 14, 195 Calculator

Given Input numbers are 506, 700, 14, 195

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 14

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

1, 2, 7, 14

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Greatest Common Divisior

We found the divisors of 506, 700, 14, 195 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 700, 14, 195 is 1.

Therefore, GCD of numbers 506, 700, 14, 195 is 1

Given Input Data is 506, 700, 14, 195

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

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 195 is 3 x 5 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(506, 700) = 177100

GCD(506, 700) = ( 506 x 700 ) / 177100

GCD(506, 700) = 354200 / 177100

GCD(506, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

GCD of 506, 700, 14, 195 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 222, 891, 19, 254
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• GCD of 726, 681, 65, 489

1. What is the GCD of 506, 700, 14, 195?

GCD of 506, 700, 14, 195 is 1

2. Where do I get the detailed procedure to find GCD of 506, 700, 14, 195?

You can find a detailed procedure to find GCD of 506, 700, 14, 195 on our page.

3. How to find GCD of 506, 700, 14, 195 on a calculator?

You can find the GCD of 506, 700, 14, 195 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.