GCD of 393, 390, 846, 948 Calculator

Given Input numbers are 393, 390, 846, 948

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

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

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 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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 393, 390, 846, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 390, 846, 948 is 3.

Therefore, GCD of numbers 393, 390, 846, 948 is 3

Given Input Data is 393, 390, 846, 948

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

Prime Factorization of 393 is 3 x 131

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

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(393, 390) = 51090

GCD(393, 390) = ( 393 x 390 ) / 51090

GCD(393, 390) = 153270 / 51090

GCD(393, 390) = 3

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 948

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

LCM(3, 948) = 948

GCD(3, 948) = ( 3 x 948 ) / 948

GCD(3, 948) = 2844 / 948

GCD(3, 948) = 3

GCD of 393, 390, 846, 948 is 3

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1. What is the GCD of 393, 390, 846, 948?

GCD of 393, 390, 846, 948 is 3

2. Where do I get the detailed procedure to find GCD of 393, 390, 846, 948?

You can find a detailed procedure to find GCD of 393, 390, 846, 948 on our page.

3. How to find GCD of 393, 390, 846, 948 on a calculator?

You can find the GCD of 393, 390, 846, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.