Greatest Common Factor of 78/272, 415/799, 378/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/272, 415/799, 378/293

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 78/272,415/799,378/293

Given fractions are 78/272,415/799,378/293

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 78,415,378

Greatest Common Factor of Numerators i.e. GCF of 78,415,378 is 1 .

LCM of Denominators means LCM of 272,799,293 as per the given fractions.

LCM of 272,799,293 is 3745712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,415,378

GCF of Fractions 78/272,415/799,378/293 is 1/3745712

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 78,415,378 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,415,378 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Greatest Common Factor

We found the factors 78,415,378 . The biggest common factor number is the GCF number.
So the greatest common factor 78,415,378 is 1.

Lets's calculate LCM of 272,799,293

17 272, 799, 293
16, 47, 293

∴ So the LCM of the given numbers is 17 x 16 x 47 x 293 = 3745712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3745712

Therefore, the GCF of Fractions 78/272,415/799,378/293 is 1/3745712

Least Common Multiple of 272,799,293 with GCF Formula

Least Common Multiple of 272,799,293 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 272,799,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,799,293) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(272,799,293) x common factors =1 x 17 = 17

LCM(272,799,293) = ( 272 × 799 × 293 ) / 17

LCM(272,799,293) = 63677104 / 17

LCM(272,799,293) = 3745712


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 78/272, 415/799, 378/293

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 78/272, 415/799, 378/293?

Answer: GCF of Numerators as per given numbers 78/272, 415/799, 378/293 is

GCF of Numerators i.e. for 78,415,378 is 1

LCM of denominators i.e. for 272,799,293 is 3745712.

Thus, GCF of Fractions is 1/3745712.Finally, GCF of Fractions for 78/272, 415/799, 378/293 is 1/3745712.