Greatest Common Factor of 4732/50, 8806/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4732/50, 8806/336

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 4732/50,8806/336

Given fractions are 4732/50,8806/336

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 4732,8806

Greatest Common Factor of Numerators i.e. GCF of 4732,8806 is 14 .

LCM of Denominators means LCM of 50,336 as per the given fractions.

LCM of 50,336 is 8400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4732,8806

GCF of Fractions 4732/50,8806/336 is 14/8400

2 4732, 8806
7 2366, 4403
338, 629

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

Greatest Common Factor of 4732,8806 By Matching Biggest Common Factor Method

Greatest Common Factor of 4732,8806 By Matching Biggest Common Factor Method

Factors of 4732

List of positive integer factors of 4732 that divides 4732 without a remainder.

1,2,4,7,13,14,26,28,52,91,169,182,338,364,676,1183,2366,4732

Factors of 8806

List of positive integer factors of 8806 that divides 8806 without a remainder.

1,2,7,14,17,34,37,74,119,238,259,518,629,1258,4403,8806

Greatest Common Factor

We found the factors 4732,8806 . The biggest common factor number is the GCF number.
So the greatest common factor 4732,8806 is 14.

Lets's calculate LCM of 50,336

2 50, 336
25, 168

∴ So the LCM of the given numbers is 2 x 25 x 168 = 8400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/8400

Therefore, the GCF of Fractions 4732/50,8806/336 is 14/8400

Least Common Multiple of 50,336 with GCF Formula

Least Common Multiple of 50,336 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 50,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,336) = 2

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

GCF(50,336) x common factors =2 x 1 = 2

LCM(50,336) = ( 50 × 336 ) / 2

LCM(50,336) = 16800 / 2

LCM(50,336) = 8400


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 4732/50, 8806/336

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 4732/50, 8806/336?

Answer: GCF of Numerators as per given numbers 4732/50, 8806/336 is

GCF of Numerators i.e. for 4732,8806 is 14

LCM of denominators i.e. for 50,336 is 8400.

Thus, GCF of Fractions is 14/8400.Finally, GCF of Fractions for 4732/50, 8806/336 is 14/8400.