Greatest Common Factor of 4788/68, 7239/334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4788/68, 7239/334

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 4788/68,7239/334

Given fractions are 4788/68,7239/334

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 4788,7239

Greatest Common Factor of Numerators i.e. GCF of 4788,7239 is 57 .

LCM of Denominators means LCM of 68,334 as per the given fractions.

LCM of 68,334 is 11356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4788,7239

GCF of Fractions 4788/68,7239/334 is 57/11356

3 4788, 7239
19 1596, 2413
84, 127

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 4788,7239 By Matching Biggest Common Factor Method

Greatest Common Factor of 4788,7239 By Matching Biggest Common Factor Method

Factors of 4788

List of positive integer factors of 4788 that divides 4788 without a remainder.

1,2,3,4,6,7,9,12,14,18,19,21,28,36,38,42,57,63,76,84,114,126,133,171,228,252,266,342,399,532,684,798,1197,1596,2394,4788

Factors of 7239

List of positive integer factors of 7239 that divides 7239 without a remainder.

1,3,19,57,127,381,2413,7239

Greatest Common Factor

We found the factors 4788,7239 . The biggest common factor number is the GCF number.
So the greatest common factor 4788,7239 is 57.

Lets's calculate LCM of 68,334

2 68, 334
34, 167

∴ So the LCM of the given numbers is 2 x 34 x 167 = 11356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/11356

Therefore, the GCF of Fractions 4788/68,7239/334 is 57/11356

Least Common Multiple of 68,334 with GCF Formula

Least Common Multiple of 68,334 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 68,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,334) = 2

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

GCF(68,334) x common factors =2 x 1 = 2

LCM(68,334) = ( 68 × 334 ) / 2

LCM(68,334) = 22712 / 2

LCM(68,334) = 11356


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 4788/68, 7239/334

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 4788/68, 7239/334?

Answer: GCF of Numerators as per given numbers 4788/68, 7239/334 is

GCF of Numerators i.e. for 4788,7239 is 57

LCM of denominators i.e. for 68,334 is 11356.

Thus, GCF of Fractions is 57/11356.Finally, GCF of Fractions for 4788/68, 7239/334 is 57/11356.