Greatest Common Factor of 731/66, 396/18, 716/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 731/66, 396/18, 716/41

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 731/66,396/18,716/41

Given fractions are 731/66,396/18,716/41

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 731,396,716

Greatest Common Factor of Numerators i.e. GCF of 731,396,716 is 1 .

LCM of Denominators means LCM of 66,18,41 as per the given fractions.

LCM of 66,18,41 is 8118 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 731,396,716

GCF of Fractions 731/66,396/18,716/41 is 1/8118

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

Greatest Common Factor of 731,396,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,396,716 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 716

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

1,2,4,179,358,716

Greatest Common Factor

We found the factors 731,396,716 . The biggest common factor number is the GCF number.
So the greatest common factor 731,396,716 is 1.

Lets's calculate LCM of 66,18,41

2 66, 18, 41
3 33, 9, 41
11, 3, 41

∴ So the LCM of the given numbers is 2 x 3 x 11 x 3 x 41 = 8118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8118

Therefore, the GCF of Fractions 731/66,396/18,716/41 is 1/8118

Least Common Multiple of 66,18,41 with GCF Formula

Least Common Multiple of 66,18,41 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 66,18,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,18,41) = 1

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

GCF(66,18,41) x common factors =1 x 6 = 6

LCM(66,18,41) = ( 66 × 18 × 41 ) / 6

LCM(66,18,41) = 48708 / 6

LCM(66,18,41) = 8118


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 731/66, 396/18, 716/41

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 731/66, 396/18, 716/41?

Answer: GCF of Numerators as per given numbers 731/66, 396/18, 716/41 is

GCF of Numerators i.e. for 731,396,716 is 1

LCM of denominators i.e. for 66,18,41 is 8118.

Thus, GCF of Fractions is 1/8118.Finally, GCF of Fractions for 731/66, 396/18, 716/41 is 1/8118.