GCD of 390, 518, 10, 892 Calculator

Given Input numbers are 390, 518, 10, 892

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Greatest Common Divisior

We found the divisors of 390, 518, 10, 892 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 518, 10, 892 is 2.

Therefore, GCD of numbers 390, 518, 10, 892 is 2

Given Input Data is 390, 518, 10, 892

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 518 is 2 x 7 x 37

Prime Factorization of 10 is 2 x 5

Prime Factorization of 892 is 2 x 2 x 223

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, 518) = 101010

GCD(390, 518) = ( 390 x 518 ) / 101010

GCD(390, 518) = 202020 / 101010

GCD(390, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 892

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

LCM(2, 892) = 892

GCD(2, 892) = ( 2 x 892 ) / 892

GCD(2, 892) = 1784 / 892

GCD(2, 892) = 2

GCD of 390, 518, 10, 892 is 2

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1. What is the GCD of 390, 518, 10, 892?

GCD of 390, 518, 10, 892 is 2

2. Where do I get the detailed procedure to find GCD of 390, 518, 10, 892?

You can find a detailed procedure to find GCD of 390, 518, 10, 892 on our page.

3. How to find GCD of 390, 518, 10, 892 on a calculator?

You can find the GCD of 390, 518, 10, 892 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.