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GCD of 798, 628, 428 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, 628, 428 quickly. Get the easiest ways to solve the greatest common divisor of 798, 628, 428 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 798, 628, 428 with Factoring?

Given Input numbers are 798, 628, 428

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428


GCD of numbers is the greatest common divisor

So, the GCD (798, 628, 428) = 2.

Find GCD of 798, 628, 428 using Prime Factorization

Given numbers are 798, 628, 428

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 21

Therefore, GCD of 798, 628, 428 is 2.

Steps to Calculate GCD of 798, 628, 428 using LCM Formula

Given numbers are 798, 628, 428

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

Apply this formula for all numbers.

Step1:

LCM(798, 628) = 250572

GCD(798, 628) = ( 798 x 628 ) / 250572

= 798 / 628

= 798


Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2


So, Greatest Common Divisor of 798, 628, 428 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 798, 628, 428

Given numbers are 798, 628, 428
The greatest common divisor of numbers 798, 628, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 628, 428 is 2.

FAQs on GCD of 798, 628, 428 Calculator

1. What is the GCD of 798, 628, 428?

GCD of given numbers 798, 628, 428 is 2


2. How to calculate the greatest common divisor of 798, 628, 428?

We can find the highest common divisor of 798, 628, 428 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, 628, 428 i.e 2.


3. How can I use the GCD of 798, 628, 428Calculator?

Out the numbers 798, 628, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.