GCD of 261, 390, 612, 351 Calculator

Given Input numbers are 261, 390, 612, 351

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 351

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

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

Greatest Common Divisior

We found the divisors of 261, 390, 612, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 390, 612, 351 is 3.

Therefore, GCD of numbers 261, 390, 612, 351 is 3

Given Input Data is 261, 390, 612, 351

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

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

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(261, 390) = 33930

GCD(261, 390) = ( 261 x 390 ) / 33930

GCD(261, 390) = 101790 / 33930

GCD(261, 390) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 612

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

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

GCD(3, 612) = 1836 / 612

GCD(3, 612) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 351

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

LCM(3, 351) = 351

GCD(3, 351) = ( 3 x 351 ) / 351

GCD(3, 351) = 1053 / 351

GCD(3, 351) = 3

GCD of 261, 390, 612, 351 is 3

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1. What is the GCD of 261, 390, 612, 351?

GCD of 261, 390, 612, 351 is 3

2. Where do I get the detailed procedure to find GCD of 261, 390, 612, 351?

You can find a detailed procedure to find GCD of 261, 390, 612, 351 on our page.

3. How to find GCD of 261, 390, 612, 351 on a calculator?

You can find the GCD of 261, 390, 612, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.