Greatest Common Factor of 4310/672, 9344/8338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4310/672, 9344/8338

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 4310/672,9344/8338

Given fractions are 4310/672,9344/8338

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 4310,9344

Greatest Common Factor of Numerators i.e. GCF of 4310,9344 is 2 .

LCM of Denominators means LCM of 672,8338 as per the given fractions.

LCM of 672,8338 is 2801568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4310,9344

GCF of Fractions 4310/672,9344/8338 is 2/2801568

2 4310, 9344
2155, 4672

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

Greatest Common Factor of 4310,9344 By Matching Biggest Common Factor Method

Greatest Common Factor of 4310,9344 By Matching Biggest Common Factor Method

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors 4310,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 4310,9344 is 2.

Lets's calculate LCM of 672,8338

2 672, 8338
336, 4169

∴ So the LCM of the given numbers is 2 x 336 x 4169 = 2801568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2801568

Therefore, the GCF of Fractions 4310/672,9344/8338 is 2/2801568

Least Common Multiple of 672,8338 with GCF Formula

Least Common Multiple of 672,8338 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 672,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,8338) = 2

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

GCF(672,8338) x common factors =2 x 1 = 2

LCM(672,8338) = ( 672 × 8338 ) / 2

LCM(672,8338) = 5603136 / 2

LCM(672,8338) = 2801568


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 4310/672, 9344/8338

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 4310/672, 9344/8338?

Answer: GCF of Numerators as per given numbers 4310/672, 9344/8338 is

GCF of Numerators i.e. for 4310,9344 is 2

LCM of denominators i.e. for 672,8338 is 2801568.

Thus, GCF of Fractions is 2/2801568.Finally, GCF of Fractions for 4310/672, 9344/8338 is 2/2801568.