GCD of 828, 841, 398, 516 Calculator

Given Input numbers are 828, 841, 398, 516

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 828, 841, 398, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 841, 398, 516 is 1.

Therefore, GCD of numbers 828, 841, 398, 516 is 1

Given Input Data is 828, 841, 398, 516

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 841 is 29 x 29

Prime Factorization of 398 is 2 x 199

Prime Factorization of 516 is 2 x 2 x 3 x 43

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(828, 841) = 696348

GCD(828, 841) = ( 828 x 841 ) / 696348

GCD(828, 841) = 696348 / 696348

GCD(828, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

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

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 828, 841, 398, 516 is 1

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• GCD of 456, 250, 570, 708
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1. What is the GCD of 828, 841, 398, 516?

GCD of 828, 841, 398, 516 is 1

2. Where do I get the detailed procedure to find GCD of 828, 841, 398, 516?

You can find a detailed procedure to find GCD of 828, 841, 398, 516 on our page.

3. How to find GCD of 828, 841, 398, 516 on a calculator?

You can find the GCD of 828, 841, 398, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.