Greatest Common Factor of 5049/336, 7512/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5049/336, 7512/717

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 5049/336,7512/717

Given fractions are 5049/336,7512/717

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 5049,7512

Greatest Common Factor of Numerators i.e. GCF of 5049,7512 is 3 .

LCM of Denominators means LCM of 336,717 as per the given fractions.

LCM of 336,717 is 80304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5049,7512

GCF of Fractions 5049/336,7512/717 is 3/80304

3 5049, 7512
1683, 2504

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

Greatest Common Factor of 5049,7512 By Matching Biggest Common Factor Method

Greatest Common Factor of 5049,7512 By Matching Biggest Common Factor Method

Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1,3,9,11,17,27,33,51,99,153,187,297,459,561,1683,5049

Factors of 7512

List of positive integer factors of 7512 that divides 7512 without a remainder.

1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512

Greatest Common Factor

We found the factors 5049,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 5049,7512 is 3.

Lets's calculate LCM of 336,717

3 336, 717
112, 239

∴ So the LCM of the given numbers is 3 x 112 x 239 = 80304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/80304

Therefore, the GCF of Fractions 5049/336,7512/717 is 3/80304

Least Common Multiple of 336,717 with GCF Formula

Least Common Multiple of 336,717 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 336,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,717) = 3

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

GCF(336,717) x common factors =3 x 1 = 3

LCM(336,717) = ( 336 × 717 ) / 3

LCM(336,717) = 240912 / 3

LCM(336,717) = 80304


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 5049/336, 7512/717

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 5049/336, 7512/717?

Answer: GCF of Numerators as per given numbers 5049/336, 7512/717 is

GCF of Numerators i.e. for 5049,7512 is 3

LCM of denominators i.e. for 336,717 is 80304.

Thus, GCF of Fractions is 3/80304.Finally, GCF of Fractions for 5049/336, 7512/717 is 3/80304.