Greatest Common Factor of 1307/92, 7233/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1307/92, 7233/618

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 1307/92,7233/618

Given fractions are 1307/92,7233/618

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 1307,7233

Greatest Common Factor of Numerators i.e. GCF of 1307,7233 is 1 .

LCM of Denominators means LCM of 92,618 as per the given fractions.

LCM of 92,618 is 28428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1307,7233

GCF of Fractions 1307/92,7233/618 is 1/28428

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

Greatest Common Factor of 1307,7233 By Matching Biggest Common Factor Method

Greatest Common Factor of 1307,7233 By Matching Biggest Common Factor Method

Factors of 1307

List of positive integer factors of 1307 that divides 1307 without a remainder.

1,1307

Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1,3,2411,7233

Greatest Common Factor

We found the factors 1307,7233 . The biggest common factor number is the GCF number.
So the greatest common factor 1307,7233 is 1.

Lets's calculate LCM of 92,618

2 92, 618
46, 309

∴ So the LCM of the given numbers is 2 x 46 x 309 = 28428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28428

Therefore, the GCF of Fractions 1307/92,7233/618 is 1/28428

Least Common Multiple of 92,618 with GCF Formula

Least Common Multiple of 92,618 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 92,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,618) = 2

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

GCF(92,618) x common factors =2 x 1 = 2

LCM(92,618) = ( 92 × 618 ) / 2

LCM(92,618) = 56856 / 2

LCM(92,618) = 28428


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 1307/92, 7233/618

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 1307/92, 7233/618?

Answer: GCF of Numerators as per given numbers 1307/92, 7233/618 is

GCF of Numerators i.e. for 1307,7233 is 1

LCM of denominators i.e. for 92,618 is 28428.

Thus, GCF of Fractions is 1/28428.Finally, GCF of Fractions for 1307/92, 7233/618 is 1/28428.