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GCD of 628, 796, 638 Calculator

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


Online GCD Calculator is useful to find the GCD of 628, 796, 638 quickly. Get the easiest ways to solve the greatest common divisor of 628, 796, 638 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 628, 796, 638 with Factoring?

Given Input numbers are 628, 796, 638

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

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638


GCD of numbers is the greatest common divisor

So, the GCD (628, 796, 638) = 2.

Find GCD of 628, 796, 638 using Prime Factorization

Given numbers are 628, 796, 638

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 796 are 2 x 2 x 199

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 21

Therefore, GCD of 628, 796, 638 is 2.

Steps to Calculate GCD of 628, 796, 638 using LCM Formula

Given numbers are 628, 796, 638

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

Apply this formula for all numbers.

Step1:

LCM(628, 796) = 124972

GCD(628, 796) = ( 628 x 796 ) / 124972

= 628 / 796

= 628


Step2:

LCM(4, 638) = 1276

GCD(4, 638) = ( 4 x 638 ) / 1276

= 4 / 638

= 4


So, Greatest Common Divisor of 628, 796, 638 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 628, 796, 638

Given numbers are 628, 796, 638
The greatest common divisor of numbers 628, 796, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 796, 638 is 2.

FAQs on GCD of 628, 796, 638 Calculator

1. What is the GCD of 628, 796, 638?

GCD of given numbers 628, 796, 638 is 2


2. How to calculate the greatest common divisor of 628, 796, 638?

We can find the highest common divisor of 628, 796, 638 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 628, 796, 638 i.e 2.


3. How can I use the GCD of 628, 796, 638Calculator?

Out the numbers 628, 796, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.