GCD of 351, 546, 11, 509 Calculator

Given Input numbers are 351, 546, 11, 509

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 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 351, 546, 11, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 546, 11, 509 is 1.

Therefore, GCD of numbers 351, 546, 11, 509 is 1

Given Input Data is 351, 546, 11, 509

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 546 is 2 x 3 x 7 x 13

Prime Factorization of 11 is 11

Prime Factorization of 509 is 509

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, 546) = 4914

GCD(351, 546) = ( 351 x 546 ) / 4914

GCD(351, 546) = 191646 / 4914

GCD(351, 546) = 39

Step2:

Here we consider the GCD from the above i.e. 39 as first number and the next as 11

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

LCM(39, 11) = 429

GCD(39, 11) = ( 39 x 11 ) / 429

GCD(39, 11) = 429 / 429

GCD(39, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 351, 546, 11, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 801, 16, 684
• GCD of 195, 220, 63, 421
• GCD of 994, 380, 52, 666
• GCD of 756, 641, 38, 154
• GCD of 157, 173, 73, 629

1. What is the GCD of 351, 546, 11, 509?

GCD of 351, 546, 11, 509 is 1

2. Where do I get the detailed procedure to find GCD of 351, 546, 11, 509?

You can find a detailed procedure to find GCD of 351, 546, 11, 509 on our page.

3. How to find GCD of 351, 546, 11, 509 on a calculator?

You can find the GCD of 351, 546, 11, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.