Greatest Common Factor of 47/464, 726/768, 845/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 47/464, 726/768, 845/144

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 47/464,726/768,845/144

Given fractions are 47/464,726/768,845/144

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 47,726,845

Greatest Common Factor of Numerators i.e. GCF of 47,726,845 is 1 .

LCM of Denominators means LCM of 464,768,144 as per the given fractions.

LCM of 464,768,144 is 66816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,726,845

GCF of Fractions 47/464,726/768,845/144 is 1/66816

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

Greatest Common Factor of 47,726,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,726,845 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 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 47,726,845 . The biggest common factor number is the GCF number.
So the greatest common factor 47,726,845 is 1.

Lets's calculate LCM of 464,768,144

2 464, 768, 144
2 232, 384, 72
2 116, 192, 36
2 58, 96, 18
3 29, 48, 9
29, 16, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 29 x 16 x 3 = 66816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66816

Therefore, the GCF of Fractions 47/464,726/768,845/144 is 1/66816

Least Common Multiple of 464,768,144 with GCF Formula

Least Common Multiple of 464,768,144 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 464,768,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,768,144) = 16

common factors(in case of two or more numbers have common factors) = 48

GCF(464,768,144) x common factors =16 x 48 = 768

LCM(464,768,144) = ( 464 × 768 × 144 ) / 768

LCM(464,768,144) = 51314688 / 768

LCM(464,768,144) = 66816


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 47/464, 726/768, 845/144

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 47/464, 726/768, 845/144?

Answer: GCF of Numerators as per given numbers 47/464, 726/768, 845/144 is

GCF of Numerators i.e. for 47,726,845 is 1

LCM of denominators i.e. for 464,768,144 is 66816.

Thus, GCF of Fractions is 1/66816.Finally, GCF of Fractions for 47/464, 726/768, 845/144 is 1/66816.