Greatest Common Factor of 716/47, 131/88, 329/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 716/47, 131/88, 329/478

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 716/47,131/88,329/478

Given fractions are 716/47,131/88,329/478

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 716,131,329

Greatest Common Factor of Numerators i.e. GCF of 716,131,329 is 1 .

LCM of Denominators means LCM of 47,88,478 as per the given fractions.

LCM of 47,88,478 is 988504 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 716,131,329

GCF of Fractions 716/47,131/88,329/478 is 1/988504

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

Greatest Common Factor of 716,131,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,131,329 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 716,131,329 . The biggest common factor number is the GCF number.
So the greatest common factor 716,131,329 is 1.

Lets's calculate LCM of 47,88,478

2 47, 88, 478
47, 44, 239

∴ So the LCM of the given numbers is 2 x 47 x 44 x 239 = 988504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/988504

Therefore, the GCF of Fractions 716/47,131/88,329/478 is 1/988504

Least Common Multiple of 47,88,478 with GCF Formula

Least Common Multiple of 47,88,478 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 47,88,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,88,478) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,88,478) x common factors =1 x 2 = 2

LCM(47,88,478) = ( 47 × 88 × 478 ) / 2

LCM(47,88,478) = 1977008 / 2

LCM(47,88,478) = 988504


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 716/47, 131/88, 329/478

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 716/47, 131/88, 329/478?

Answer: GCF of Numerators as per given numbers 716/47, 131/88, 329/478 is

GCF of Numerators i.e. for 716,131,329 is 1

LCM of denominators i.e. for 47,88,478 is 988504.

Thus, GCF of Fractions is 1/988504.Finally, GCF of Fractions for 716/47, 131/88, 329/478 is 1/988504.