Greatest Common Factor of 6222/634, 5320/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6222/634, 5320/326

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 6222/634,5320/326

Given fractions are 6222/634,5320/326

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 6222,5320

Greatest Common Factor of Numerators i.e. GCF of 6222,5320 is 2 .

LCM of Denominators means LCM of 634,326 as per the given fractions.

LCM of 634,326 is 103342 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6222,5320

GCF of Fractions 6222/634,5320/326 is 2/103342

2 6222, 5320
3111, 2660

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6222,5320 By Matching Biggest Common Factor Method

Greatest Common Factor of 6222,5320 By Matching Biggest Common Factor Method

Factors of 6222

List of positive integer factors of 6222 that divides 6222 without a remainder.

1,2,3,6,17,34,51,61,102,122,183,366,1037,2074,3111,6222

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1,2,4,5,7,8,10,14,19,20,28,35,38,40,56,70,76,95,133,140,152,190,266,280,380,532,665,760,1064,1330,2660,5320

Greatest Common Factor

We found the factors 6222,5320 . The biggest common factor number is the GCF number.
So the greatest common factor 6222,5320 is 2.

Lets's calculate LCM of 634,326

2 634, 326
317, 163

∴ So the LCM of the given numbers is 2 x 317 x 163 = 103342

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/103342

Therefore, the GCF of Fractions 6222/634,5320/326 is 2/103342

Least Common Multiple of 634,326 with GCF Formula

Least Common Multiple of 634,326 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 634,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,326) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(634,326) x common factors =2 x 1 = 2

LCM(634,326) = ( 634 × 326 ) / 2

LCM(634,326) = 206684 / 2

LCM(634,326) = 103342


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 6222/634, 5320/326

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 6222/634, 5320/326?

Answer: GCF of Numerators as per given numbers 6222/634, 5320/326 is

GCF of Numerators i.e. for 6222,5320 is 2

LCM of denominators i.e. for 634,326 is 103342.

Thus, GCF of Fractions is 2/103342.Finally, GCF of Fractions for 6222/634, 5320/326 is 2/103342.