GCD of 799, 408, 696, 828 Calculator

Given Input numbers are 799, 408, 696, 828

In the factoring method, we have to find the divisors of all numbers

Divisors of 799 :

The positive integer divisors of 799 that completely divides 799 are.

1, 17, 47, 799

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (799, 408, 696, 828) = 1.

Given numbers are 799, 408, 696, 828

The list of prime factors of all numbers are

Prime factors of 799 are 17 x 47

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 799, 408, 696, 828

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(799, 408) = 19176

GCD(799, 408) = ( 799 x 408 ) / 19176

= 799 / 408

= 799

Step2:

LCM(17, 696) = 11832

GCD(17, 696) = ( 17 x 696 ) / 11832

= 17 / 696

= 17

Step3:

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

= 1 / 828

= 1

So, Greatest Common Divisor of 799, 408, 696, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 571, 987, 639
• GCD of 248, 451, 150, 722
• GCD of 773, 509, 547, 570
• GCD of 506, 153, 836, 736
• GCD of 485, 964, 732, 217

Given numbers are 799, 408, 696, 828
The greatest common divisor of numbers 799, 408, 696, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 799, 408, 696, 828 is 1.

1. What is the GCD of 799, 408, 696, 828?

GCD of given numbers 799, 408, 696, 828 is 1

2. How to calculate the greatest common divisor of 799, 408, 696, 828?

We can find the highest common divisor of 799, 408, 696, 828 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 799, 408, 696, 828 i.e 1.

3. How can I use the GCD of 799, 408, 696, 828Calculator?

Out the numbers 799, 408, 696, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.