Greatest Common Factor of 3378/768, 1038/8726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3378/768, 1038/8726

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 3378/768,1038/8726

Given fractions are 3378/768,1038/8726

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 3378,1038

Greatest Common Factor of Numerators i.e. GCF of 3378,1038 is 6 .

LCM of Denominators means LCM of 768,8726 as per the given fractions.

LCM of 768,8726 is 3350784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3378,1038

GCF of Fractions 3378/768,1038/8726 is 6/3350784

2 3378, 1038
3 1689, 519
563, 173

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3378,1038 By Matching Biggest Common Factor Method

Greatest Common Factor of 3378,1038 By Matching Biggest Common Factor Method

Factors of 3378

List of positive integer factors of 3378 that divides 3378 without a remainder.

1,2,3,6,563,1126,1689,3378

Factors of 1038

List of positive integer factors of 1038 that divides 1038 without a remainder.

1,2,3,6,173,346,519,1038

Greatest Common Factor

We found the factors 3378,1038 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,1038 is 6.

Lets's calculate LCM of 768,8726

2 768, 8726
384, 4363

∴ So the LCM of the given numbers is 2 x 384 x 4363 = 3350784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3350784

Therefore, the GCF of Fractions 3378/768,1038/8726 is 6/3350784

Least Common Multiple of 768,8726 with GCF Formula

Least Common Multiple of 768,8726 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 768,8726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,8726) = 2

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

GCF(768,8726) x common factors =2 x 1 = 2

LCM(768,8726) = ( 768 × 8726 ) / 2

LCM(768,8726) = 6701568 / 2

LCM(768,8726) = 3350784


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 3378/768, 1038/8726

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 3378/768, 1038/8726?

Answer: GCF of Numerators as per given numbers 3378/768, 1038/8726 is

GCF of Numerators i.e. for 3378,1038 is 6

LCM of denominators i.e. for 768,8726 is 3350784.

Thus, GCF of Fractions is 6/3350784.Finally, GCF of Fractions for 3378/768, 1038/8726 is 6/3350784.