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GCD of 804, 472, 814, 792 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 804, 472, 814, 792 quickly. Get the easiest ways to solve the greatest common divisor of 804, 472, 814, 792 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 804, 472, 814, 792 with Factoring?

Given Input numbers are 804, 472, 814, 792

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792


GCD of numbers is the greatest common divisor

So, the GCD (804, 472, 814, 792) = 2.

Find GCD of 804, 472, 814, 792 using Prime Factorization

Given numbers are 804, 472, 814, 792

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 814 are 2 x 11 x 37

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 804, 472, 814, 792 is 2.

Steps to Calculate GCD of 804, 472, 814, 792 using LCM Formula

Given numbers are 804, 472, 814, 792

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

Apply this formula for all numbers.

Step1:

LCM(804, 472) = 94872

GCD(804, 472) = ( 804 x 472 ) / 94872

= 804 / 472

= 804


Step2:

LCM(4, 814) = 1628

GCD(4, 814) = ( 4 x 814 ) / 1628

= 4 / 814

= 4


Step3:

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

= 2 / 792

= 2


So, Greatest Common Divisor of 804, 472, 814, 792 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 804, 472, 814, 792

Given numbers are 804, 472, 814, 792
The greatest common divisor of numbers 804, 472, 814, 792 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 472, 814, 792 is 2.

FAQs on GCD of 804, 472, 814, 792 Calculator

1. What is the GCD of 804, 472, 814, 792?

GCD of given numbers 804, 472, 814, 792 is 2


2. How to calculate the greatest common divisor of 804, 472, 814, 792?

We can find the highest common divisor of 804, 472, 814, 792 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 804, 472, 814, 792 i.e 2.


3. How can I use the GCD of 804, 472, 814, 792Calculator?

Out the numbers 804, 472, 814, 792 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.