GCD of 390, 878, 630 Calculator

Given Input numbers are 390, 878, 630

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

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 630

List of positive integer divisors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Greatest Common Divisior

We found the divisors of 390, 878, 630 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 878, 630 is 2.

Therefore, GCD of numbers 390, 878, 630 is 2

Given Input Data is 390, 878, 630

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

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

Prime Factorization of 878 is 2 x 439

Prime Factorization of 630 is 2 x 3 x 3 x 5 x 7

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(390, 878) = 171210

GCD(390, 878) = ( 390 x 878 ) / 171210

GCD(390, 878) = 342420 / 171210

GCD(390, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 630

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

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

GCD(2, 630) = 1260 / 630

GCD(2, 630) = 2

GCD of 390, 878, 630 is 2

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1. What is the GCD of 390, 878, 630?

GCD of 390, 878, 630 is 2

2. Where do I get the detailed procedure to find GCD of 390, 878, 630?

You can find a detailed procedure to find GCD of 390, 878, 630 on our page.

3. How to find GCD of 390, 878, 630 on a calculator?

You can find the GCD of 390, 878, 630 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.