GCD of 510, 990, 351, 795 Calculator

Given Input numbers are 510, 990, 351, 795

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 795

List of positive integer divisors of 795 that divides 795 without a remainder.

1, 3, 5, 15, 53, 159, 265, 795

Greatest Common Divisior

We found the divisors of 510, 990, 351, 795 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 990, 351, 795 is 3.

Therefore, GCD of numbers 510, 990, 351, 795 is 3

Given Input Data is 510, 990, 351, 795

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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

Prime Factorization of 795 is 3 x 5 x 53

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(510, 990) = 16830

GCD(510, 990) = ( 510 x 990 ) / 16830

GCD(510, 990) = 504900 / 16830

GCD(510, 990) = 30

Step2:

Here we consider the GCD from the above i.e. 30 as first number and the next as 351

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

LCM(30, 351) = 3510

GCD(30, 351) = ( 30 x 351 ) / 3510

GCD(30, 351) = 10530 / 3510

GCD(30, 351) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 795

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

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

GCD(3, 795) = 2385 / 795

GCD(3, 795) = 3

GCD of 510, 990, 351, 795 is 3

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1. What is the GCD of 510, 990, 351, 795?

GCD of 510, 990, 351, 795 is 3

2. Where do I get the detailed procedure to find GCD of 510, 990, 351, 795?

You can find a detailed procedure to find GCD of 510, 990, 351, 795 on our page.

3. How to find GCD of 510, 990, 351, 795 on a calculator?

You can find the GCD of 510, 990, 351, 795 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.