GCD of 612, 800, 392 Calculator

Given Input numbers are 612, 800, 392

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Greatest Common Divisior

We found the divisors of 612, 800, 392 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 612, 800, 392 is 4.

Therefore, GCD of numbers 612, 800, 392 is 4

Given Input Data is 612, 800, 392

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 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 800) = 122400

GCD(612, 800) = ( 612 x 800 ) / 122400

GCD(612, 800) = 489600 / 122400

GCD(612, 800) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 392

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

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

GCD(4, 392) = 1568 / 392

GCD(4, 392) = 4

GCD of 612, 800, 392 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 286, 460
• GCD of 569, 175, 738
• GCD of 389, 298, 257
• GCD of 851, 706, 623
• GCD of 213, 813, 536

1. What is the GCD of 612, 800, 392?

GCD of 612, 800, 392 is 4

2. Where do I get the detailed procedure to find GCD of 612, 800, 392?

You can find a detailed procedure to find GCD of 612, 800, 392 on our page.

3. How to find GCD of 612, 800, 392 on a calculator?

You can find the GCD of 612, 800, 392 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.