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GCD of 320, 626, 392, 198 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 626, 392, 198 quickly. Get the easiest ways to solve the greatest common divisor of 320, 626, 392, 198 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 626, 392, 198 with Factoring?

Given Input numbers are 320, 626, 392, 198

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198


GCD of numbers is the greatest common divisor

So, the GCD (320, 626, 392, 198) = 2.

Find GCD of 320, 626, 392, 198 using Prime Factorization

Given numbers are 320, 626, 392, 198

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 626 are 2 x 313

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 320, 626, 392, 198 is 2.

Steps to Calculate GCD of 320, 626, 392, 198 using LCM Formula

Given numbers are 320, 626, 392, 198

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

Apply this formula for all numbers.

Step1:

LCM(320, 626) = 100160

GCD(320, 626) = ( 320 x 626 ) / 100160

= 320 / 626

= 320


Step2:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2


Step3:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2


So, Greatest Common Divisor of 320, 626, 392, 198 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 626, 392, 198

Given numbers are 320, 626, 392, 198
The greatest common divisor of numbers 320, 626, 392, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 626, 392, 198 is 2.

FAQs on GCD of 320, 626, 392, 198 Calculator

1. What is the GCD of 320, 626, 392, 198?

GCD of given numbers 320, 626, 392, 198 is 2


2. How to calculate the greatest common divisor of 320, 626, 392, 198?

We can find the highest common divisor of 320, 626, 392, 198 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 320, 626, 392, 198 i.e 2.


3. How can I use the GCD of 320, 626, 392, 198Calculator?

Out the numbers 320, 626, 392, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.