GCD of 612, 460, 10, 393 Calculator

Given Input numbers are 612, 460, 10, 393

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

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 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 10

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

1, 2, 5, 10

Divisors of 393

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

1, 3, 131, 393

Greatest Common Divisior

We found the divisors of 612, 460, 10, 393 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 460, 10, 393 is 1.

Therefore, GCD of numbers 612, 460, 10, 393 is 1

Given Input Data is 612, 460, 10, 393

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

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 10 is 2 x 5

Prime Factorization of 393 is 3 x 131

The above numbers do not have any common prime factor. So GCD is 1

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(612, 460) = 70380

GCD(612, 460) = ( 612 x 460 ) / 70380

GCD(612, 460) = 281520 / 70380

GCD(612, 460) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 10

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

LCM(4, 10) = 20

GCD(4, 10) = ( 4 x 10 ) / 20

GCD(4, 10) = 40 / 20

GCD(4, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 393

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

LCM(2, 393) = 786

GCD(2, 393) = ( 2 x 393 ) / 786

GCD(2, 393) = 786 / 786

GCD(2, 393) = 1

GCD of 612, 460, 10, 393 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 268, 51, 407
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• GCD of 111, 177, 50, 200
• GCD of 708, 709, 18, 156
• GCD of 645, 968, 54, 485

1. What is the GCD of 612, 460, 10, 393?

GCD of 612, 460, 10, 393 is 1

2. Where do I get the detailed procedure to find GCD of 612, 460, 10, 393?

You can find a detailed procedure to find GCD of 612, 460, 10, 393 on our page.

3. How to find GCD of 612, 460, 10, 393 on a calculator?

You can find the GCD of 612, 460, 10, 393 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.