Greatest Common Factor of 8344/672, 3234/2766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8344/672, 3234/2766

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 8344/672,3234/2766

Given fractions are 8344/672,3234/2766

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 8344,3234

Greatest Common Factor of Numerators i.e. GCF of 8344,3234 is 14 .

LCM of Denominators means LCM of 672,2766 as per the given fractions.

LCM of 672,2766 is 309792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8344,3234

GCF of Fractions 8344/672,3234/2766 is 14/309792

2 8344, 3234
7 4172, 1617
596, 231

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 8344,3234 By Matching Biggest Common Factor Method

Greatest Common Factor of 8344,3234 By Matching Biggest Common Factor Method

Factors of 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1,2,4,7,8,14,28,56,149,298,596,1043,1192,2086,4172,8344

Factors of 3234

List of positive integer factors of 3234 that divides 3234 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Greatest Common Factor

We found the factors 8344,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 8344,3234 is 14.

Lets's calculate LCM of 672,2766

2 672, 2766
3 336, 1383
112, 461

∴ So the LCM of the given numbers is 2 x 3 x 112 x 461 = 309792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/309792

Therefore, the GCF of Fractions 8344/672,3234/2766 is 14/309792

Least Common Multiple of 672,2766 with GCF Formula

Least Common Multiple of 672,2766 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 672,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,2766) = 6

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

GCF(672,2766) x common factors =6 x 1 = 6

LCM(672,2766) = ( 672 × 2766 ) / 6

LCM(672,2766) = 1858752 / 6

LCM(672,2766) = 309792


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 8344/672, 3234/2766

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 8344/672, 3234/2766?

Answer: GCF of Numerators as per given numbers 8344/672, 3234/2766 is

GCF of Numerators i.e. for 8344,3234 is 14

LCM of denominators i.e. for 672,2766 is 309792.

Thus, GCF of Fractions is 14/309792.Finally, GCF of Fractions for 8344/672, 3234/2766 is 14/309792.