GCD of 828, 334, 82, 419 Calculator

Given Input numbers are 828, 334, 82, 419

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Greatest Common Divisior

We found the divisors of 828, 334, 82, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 334, 82, 419 is 1.

Therefore, GCD of numbers 828, 334, 82, 419 is 1

Given Input Data is 828, 334, 82, 419

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 334 is 2 x 167

Prime Factorization of 82 is 2 x 41

Prime Factorization of 419 is 419

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, 334) = 138276

GCD(828, 334) = ( 828 x 334 ) / 138276

GCD(828, 334) = 276552 / 138276

GCD(828, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 82

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

LCM(2, 82) = 82

GCD(2, 82) = ( 2 x 82 ) / 82

GCD(2, 82) = 164 / 82

GCD(2, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 419

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

LCM(2, 419) = 838

GCD(2, 419) = ( 2 x 419 ) / 838

GCD(2, 419) = 838 / 838

GCD(2, 419) = 1

GCD of 828, 334, 82, 419 is 1

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• GCD of 344, 602, 76, 341
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1. What is the GCD of 828, 334, 82, 419?

GCD of 828, 334, 82, 419 is 1

2. Where do I get the detailed procedure to find GCD of 828, 334, 82, 419?

You can find a detailed procedure to find GCD of 828, 334, 82, 419 on our page.

3. How to find GCD of 828, 334, 82, 419 on a calculator?

You can find the GCD of 828, 334, 82, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.