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GCD of 798, 477, 579, 804 Calculator

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


Online GCD Calculator is useful to find the GCD of 798, 477, 579, 804 quickly. Get the easiest ways to solve the greatest common divisor of 798, 477, 579, 804 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 798, 477, 579, 804 with Factoring?

Given Input numbers are 798, 477, 579, 804

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 477 :

The positive integer divisors of 477 that completely divides 477 are.

1, 3, 9, 53, 159, 477

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

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


GCD of numbers is the greatest common divisor

So, the GCD (798, 477, 579, 804) = 3.

Find GCD of 798, 477, 579, 804 using Prime Factorization

Given numbers are 798, 477, 579, 804

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 477 are 3 x 3 x 53

Prime factors of 579 are 3 x 193

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

The highest common occurrence is 31

Therefore, GCD of 798, 477, 579, 804 is 3.

Steps to Calculate GCD of 798, 477, 579, 804 using LCM Formula

Given numbers are 798, 477, 579, 804

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

Apply this formula for all numbers.

Step1:

LCM(798, 477) = 126882

GCD(798, 477) = ( 798 x 477 ) / 126882

= 798 / 477

= 798


Step2:

LCM(3, 579) = 579

GCD(3, 579) = ( 3 x 579 ) / 579

= 3 / 579

= 3


Step3:

LCM(3, 804) = 804

GCD(3, 804) = ( 3 x 804 ) / 804

= 3 / 804

= 3


So, Greatest Common Divisor of 798, 477, 579, 804 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 798, 477, 579, 804

Given numbers are 798, 477, 579, 804
The greatest common divisor of numbers 798, 477, 579, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 477, 579, 804 is 3.

FAQs on GCD of 798, 477, 579, 804 Calculator

1. What is the GCD of 798, 477, 579, 804?

GCD of given numbers 798, 477, 579, 804 is 3


2. How to calculate the greatest common divisor of 798, 477, 579, 804?

We can find the highest common divisor of 798, 477, 579, 804 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 798, 477, 579, 804 i.e 3.


3. How can I use the GCD of 798, 477, 579, 804Calculator?

Out the numbers 798, 477, 579, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.