GCD of 351, 195, 278, 506 Calculator

Given Input numbers are 351, 195, 278, 506

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 195

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

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

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 506

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

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

Greatest Common Divisior

We found the divisors of 351, 195, 278, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 195, 278, 506 is 1.

Therefore, GCD of numbers 351, 195, 278, 506 is 1

Given Input Data is 351, 195, 278, 506

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 278 is 2 x 139

Prime Factorization of 506 is 2 x 11 x 23

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(351, 195) = 1755

GCD(351, 195) = ( 351 x 195 ) / 1755

GCD(351, 195) = 68445 / 1755

GCD(351, 195) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 278

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

LCM(39, 278) = 10842

GCD(39, 278) = ( 39 x 278 ) / 10842

GCD(39, 278) = 10842 / 10842

GCD(39, 278) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 351, 195, 278, 506 is 1

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• GCD of 679, 855, 503, 410
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1. What is the GCD of 351, 195, 278, 506?

GCD of 351, 195, 278, 506 is 1

2. Where do I get the detailed procedure to find GCD of 351, 195, 278, 506?

You can find a detailed procedure to find GCD of 351, 195, 278, 506 on our page.

3. How to find GCD of 351, 195, 278, 506 on a calculator?

You can find the GCD of 351, 195, 278, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.