GCD of 828, 799, 35, 339 Calculator

Given Input numbers are 828, 799, 35, 339

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 339

List of positive integer divisors of 339 that divides 339 without a remainder.

1, 3, 113, 339

Greatest Common Divisior

We found the divisors of 828, 799, 35, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 799, 35, 339 is 1.

Therefore, GCD of numbers 828, 799, 35, 339 is 1

Given Input Data is 828, 799, 35, 339

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 799 is 17 x 47

Prime Factorization of 35 is 5 x 7

Prime Factorization of 339 is 3 x 113

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, 799) = 661572

GCD(828, 799) = ( 828 x 799 ) / 661572

GCD(828, 799) = 661572 / 661572

GCD(828, 799) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 35

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

LCM(1, 35) = 35

GCD(1, 35) = ( 1 x 35 ) / 35

GCD(1, 35) = 35 / 35

GCD(1, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 339

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

LCM(1, 339) = 339

GCD(1, 339) = ( 1 x 339 ) / 339

GCD(1, 339) = 339 / 339

GCD(1, 339) = 1

GCD of 828, 799, 35, 339 is 1

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• GCD of 471, 762, 78, 166
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1. What is the GCD of 828, 799, 35, 339?

GCD of 828, 799, 35, 339 is 1

2. Where do I get the detailed procedure to find GCD of 828, 799, 35, 339?

You can find a detailed procedure to find GCD of 828, 799, 35, 339 on our page.

3. How to find GCD of 828, 799, 35, 339 on a calculator?

You can find the GCD of 828, 799, 35, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.