Greatest Common Factor of 47/747, 383/906, 208/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/747, 383/906, 208/308

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 47/747,383/906,208/308

Given fractions are 47/747,383/906,208/308

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 47,383,208

Greatest Common Factor of Numerators i.e. GCF of 47,383,208 is 1 .

LCM of Denominators means LCM of 747,906,308 as per the given fractions.

LCM of 747,906,308 is 34741476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,383,208

GCF of Fractions 47/747,383/906,208/308 is 1/34741476

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

Greatest Common Factor of 47,383,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,383,208 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 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 47,383,208 . The biggest common factor number is the GCF number.
So the greatest common factor 47,383,208 is 1.

Lets's calculate LCM of 747,906,308

2 747, 906, 308
3 747, 453, 154
249, 151, 154

∴ So the LCM of the given numbers is 2 x 3 x 249 x 151 x 154 = 34741476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34741476

Therefore, the GCF of Fractions 47/747,383/906,208/308 is 1/34741476

Least Common Multiple of 747,906,308 with GCF Formula

Least Common Multiple of 747,906,308 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 747,906,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,906,308) = 1

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

GCF(747,906,308) x common factors =1 x 6 = 6

LCM(747,906,308) = ( 747 × 906 × 308 ) / 6

LCM(747,906,308) = 208448856 / 6

LCM(747,906,308) = 34741476


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 47/747, 383/906, 208/308

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 47/747, 383/906, 208/308?

Answer: GCF of Numerators as per given numbers 47/747, 383/906, 208/308 is

GCF of Numerators i.e. for 47,383,208 is 1

LCM of denominators i.e. for 747,906,308 is 34741476.

Thus, GCF of Fractions is 1/34741476.Finally, GCF of Fractions for 47/747, 383/906, 208/308 is 1/34741476.