Greatest Common Factor of 7307/92, 6366/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7307/92, 6366/138

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 7307/92,6366/138

Given fractions are 7307/92,6366/138

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 7307,6366

Greatest Common Factor of Numerators i.e. GCF of 7307,6366 is 1 .

LCM of Denominators means LCM of 92,138 as per the given fractions.

LCM of 92,138 is 276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7307,6366

GCF of Fractions 7307/92,6366/138 is 1/276

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

Greatest Common Factor of 7307,6366 By Matching Biggest Common Factor Method

Greatest Common Factor of 7307,6366 By Matching Biggest Common Factor Method

Factors of 7307

List of positive integer factors of 7307 that divides 7307 without a remainder.

1,7307

Factors of 6366

List of positive integer factors of 6366 that divides 6366 without a remainder.

1,2,3,6,1061,2122,3183,6366

Greatest Common Factor

We found the factors 7307,6366 . The biggest common factor number is the GCF number.
So the greatest common factor 7307,6366 is 1.

Lets's calculate LCM of 92,138

2 92, 138
23 46, 69
2, 3

∴ So the LCM of the given numbers is 2 x 23 x 2 x 3 = 276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276

Therefore, the GCF of Fractions 7307/92,6366/138 is 1/276

Least Common Multiple of 92,138 with GCF Formula

Least Common Multiple of 92,138 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 92,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,138) = 46

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

GCF(92,138) x common factors =46 x 1 = 46

LCM(92,138) = ( 92 × 138 ) / 46

LCM(92,138) = 12696 / 46

LCM(92,138) = 276


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 7307/92, 6366/138

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 7307/92, 6366/138?

Answer: GCF of Numerators as per given numbers 7307/92, 6366/138 is

GCF of Numerators i.e. for 7307,6366 is 1

LCM of denominators i.e. for 92,138 is 276.

Thus, GCF of Fractions is 1/276.Finally, GCF of Fractions for 7307/92, 6366/138 is 1/276.