GCD of 351, 756, 411, 846 Calculator

Given Input numbers are 351, 756, 411, 846

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Greatest Common Divisior

We found the divisors of 351, 756, 411, 846 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 756, 411, 846 is 3.

Therefore, GCD of numbers 351, 756, 411, 846 is 3

Given Input Data is 351, 756, 411, 846

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 411 is 3 x 137

Prime Factorization of 846 is 2 x 3 x 3 x 47

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(351, 756) = 9828

GCD(351, 756) = ( 351 x 756 ) / 9828

GCD(351, 756) = 265356 / 9828

GCD(351, 756) = 27

Step2:

Here we consider the GCD from the above i.e. 27 as first number and the next as 411

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

LCM(27, 411) = 3699

GCD(27, 411) = ( 27 x 411 ) / 3699

GCD(27, 411) = 11097 / 3699

GCD(27, 411) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 846

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

LCM(3, 846) = 846

GCD(3, 846) = ( 3 x 846 ) / 846

GCD(3, 846) = 2538 / 846

GCD(3, 846) = 3

GCD of 351, 756, 411, 846 is 3

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1. What is the GCD of 351, 756, 411, 846?

GCD of 351, 756, 411, 846 is 3

2. Where do I get the detailed procedure to find GCD of 351, 756, 411, 846?

You can find a detailed procedure to find GCD of 351, 756, 411, 846 on our page.

3. How to find GCD of 351, 756, 411, 846 on a calculator?

You can find the GCD of 351, 756, 411, 846 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.