Greatest Common Factor of 726/82, 3114/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/82, 3114/472

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 726/82,3114/472

Given fractions are 726/82,3114/472

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 726,3114

Greatest Common Factor of Numerators i.e. GCF of 726,3114 is 6 .

LCM of Denominators means LCM of 82,472 as per the given fractions.

LCM of 82,472 is 19352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,3114

GCF of Fractions 726/82,3114/472 is 6/19352

2 726, 3114
3 363, 1557
121, 519

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 726,3114 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,3114 By Matching Biggest Common Factor Method

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 3114

List of positive integer factors of 3114 that divides 3114 without a remainder.

1,2,3,6,9,18,173,346,519,1038,1557,3114

Greatest Common Factor

We found the factors 726,3114 . The biggest common factor number is the GCF number.
So the greatest common factor 726,3114 is 6.

Lets's calculate LCM of 82,472

2 82, 472
41, 236

∴ So the LCM of the given numbers is 2 x 41 x 236 = 19352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/19352

Therefore, the GCF of Fractions 726/82,3114/472 is 6/19352

Least Common Multiple of 82,472 with GCF Formula

Least Common Multiple of 82,472 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 82,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,472) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(82,472) x common factors =2 x 1 = 2

LCM(82,472) = ( 82 × 472 ) / 2

LCM(82,472) = 38704 / 2

LCM(82,472) = 19352


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 726/82, 3114/472

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 726/82, 3114/472?

Answer: GCF of Numerators as per given numbers 726/82, 3114/472 is

GCF of Numerators i.e. for 726,3114 is 6

LCM of denominators i.e. for 82,472 is 19352.

Thus, GCF of Fractions is 6/19352.Finally, GCF of Fractions for 726/82, 3114/472 is 6/19352.