Greatest Common Factor of 49/336, 4032/1089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/336, 4032/1089

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 49/336,4032/1089

Given fractions are 49/336,4032/1089

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 49,4032

Greatest Common Factor of Numerators i.e. GCF of 49,4032 is 7 .

LCM of Denominators means LCM of 336,1089 as per the given fractions.

LCM of 336,1089 is 121968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,4032

GCF of Fractions 49/336,4032/1089 is 7/121968

7 49, 4032
7, 576

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 49,4032 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,4032 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,144,168,192,224,252,288,336,448,504,576,672,1008,1344,2016,4032

Greatest Common Factor

We found the factors 49,4032 . The biggest common factor number is the GCF number.
So the greatest common factor 49,4032 is 7.

Lets's calculate LCM of 336,1089

3 336, 1089
112, 363

∴ So the LCM of the given numbers is 3 x 112 x 363 = 121968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/121968

Therefore, the GCF of Fractions 49/336,4032/1089 is 7/121968

Least Common Multiple of 336,1089 with GCF Formula

Least Common Multiple of 336,1089 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 336,1089 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,1089) = 3

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

GCF(336,1089) x common factors =3 x 1 = 3

LCM(336,1089) = ( 336 × 1089 ) / 3

LCM(336,1089) = 365904 / 3

LCM(336,1089) = 121968


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 49/336, 4032/1089

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 49/336, 4032/1089?

Answer: GCF of Numerators as per given numbers 49/336, 4032/1089 is

GCF of Numerators i.e. for 49,4032 is 7

LCM of denominators i.e. for 336,1089 is 121968.

Thus, GCF of Fractions is 7/121968.Finally, GCF of Fractions for 49/336, 4032/1089 is 7/121968.