Greatest Common Factor of 47/51, 306/10, 478/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/51, 306/10, 478/276

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 47/51,306/10,478/276

Given fractions are 47/51,306/10,478/276

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 47,306,478

Greatest Common Factor of Numerators i.e. GCF of 47,306,478 is 1 .

LCM of Denominators means LCM of 51,10,276 as per the given fractions.

LCM of 51,10,276 is 23460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,306,478

GCF of Fractions 47/51,306/10,478/276 is 1/23460

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

Greatest Common Factor of 47,306,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,306,478 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 47,306,478 . The biggest common factor number is the GCF number.
So the greatest common factor 47,306,478 is 1.

Lets's calculate LCM of 51,10,276

2 51, 10, 276
3 51, 5, 138
17, 5, 46

∴ So the LCM of the given numbers is 2 x 3 x 17 x 5 x 46 = 23460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23460

Therefore, the GCF of Fractions 47/51,306/10,478/276 is 1/23460

Least Common Multiple of 51,10,276 with GCF Formula

Least Common Multiple of 51,10,276 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 51,10,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,10,276) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(51,10,276) x common factors =1 x 6 = 6

LCM(51,10,276) = ( 51 × 10 × 276 ) / 6

LCM(51,10,276) = 140760 / 6

LCM(51,10,276) = 23460


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 47/51, 306/10, 478/276

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 47/51, 306/10, 478/276?

Answer: GCF of Numerators as per given numbers 47/51, 306/10, 478/276 is

GCF of Numerators i.e. for 47,306,478 is 1

LCM of denominators i.e. for 51,10,276 is 23460.

Thus, GCF of Fractions is 1/23460.Finally, GCF of Fractions for 47/51, 306/10, 478/276 is 1/23460.