GCD of 410, 802, 709, 396 Calculator

Given Input numbers are 410, 802, 709, 396

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 410, 802, 709, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 802, 709, 396 is 1.

Therefore, GCD of numbers 410, 802, 709, 396 is 1

Given Input Data is 410, 802, 709, 396

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 802 is 2 x 401

Prime Factorization of 709 is 709

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(410, 802) = 164410

GCD(410, 802) = ( 410 x 802 ) / 164410

GCD(410, 802) = 328820 / 164410

GCD(410, 802) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 709

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

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

GCD(2, 709) = 1418 / 1418

GCD(2, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 410, 802, 709, 396 is 1

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1. What is the GCD of 410, 802, 709, 396?

GCD of 410, 802, 709, 396 is 1

2. Where do I get the detailed procedure to find GCD of 410, 802, 709, 396?

You can find a detailed procedure to find GCD of 410, 802, 709, 396 on our page.

3. How to find GCD of 410, 802, 709, 396 on a calculator?

You can find the GCD of 410, 802, 709, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.