Greatest Common Factor of 8448/706, 4371/5232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8448/706, 4371/5232

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 8448/706,4371/5232

Given fractions are 8448/706,4371/5232

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 8448,4371

Greatest Common Factor of Numerators i.e. GCF of 8448,4371 is 3 .

LCM of Denominators means LCM of 706,5232 as per the given fractions.

LCM of 706,5232 is 1846896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8448,4371

GCF of Fractions 8448/706,4371/5232 is 3/1846896

3 8448, 4371
2816, 1457

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8448,4371 By Matching Biggest Common Factor Method

Greatest Common Factor of 8448,4371 By Matching Biggest Common Factor Method

Factors of 8448

List of positive integer factors of 8448 that divides 8448 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448

Factors of 4371

List of positive integer factors of 4371 that divides 4371 without a remainder.

1,3,31,47,93,141,1457,4371

Greatest Common Factor

We found the factors 8448,4371 . The biggest common factor number is the GCF number.
So the greatest common factor 8448,4371 is 3.

Lets's calculate LCM of 706,5232

2 706, 5232
353, 2616

∴ So the LCM of the given numbers is 2 x 353 x 2616 = 1846896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1846896

Therefore, the GCF of Fractions 8448/706,4371/5232 is 3/1846896

Least Common Multiple of 706,5232 with GCF Formula

Least Common Multiple of 706,5232 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 706,5232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,5232) = 2

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

GCF(706,5232) x common factors =2 x 1 = 2

LCM(706,5232) = ( 706 × 5232 ) / 2

LCM(706,5232) = 3693792 / 2

LCM(706,5232) = 1846896


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 8448/706, 4371/5232

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 8448/706, 4371/5232?

Answer: GCF of Numerators as per given numbers 8448/706, 4371/5232 is

GCF of Numerators i.e. for 8448,4371 is 3

LCM of denominators i.e. for 706,5232 is 1846896.

Thus, GCF of Fractions is 3/1846896.Finally, GCF of Fractions for 8448/706, 4371/5232 is 3/1846896.