Greatest Common Factor of 9297/366, 6085/7088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 9297/366, 6085/7088

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 9297/366,6085/7088

Given fractions are 9297/366,6085/7088

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 9297,6085

Greatest Common Factor of Numerators i.e. GCF of 9297,6085 is 1 .

LCM of Denominators means LCM of 366,7088 as per the given fractions.

LCM of 366,7088 is 1297104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9297,6085

GCF of Fractions 9297/366,6085/7088 is 1/1297104

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

Greatest Common Factor of 9297,6085 By Matching Biggest Common Factor Method

Greatest Common Factor of 9297,6085 By Matching Biggest Common Factor Method

Factors of 9297

List of positive integer factors of 9297 that divides 9297 without a remainder.

1,3,9,1033,3099,9297

Factors of 6085

List of positive integer factors of 6085 that divides 6085 without a remainder.

1,5,1217,6085

Greatest Common Factor

We found the factors 9297,6085 . The biggest common factor number is the GCF number.
So the greatest common factor 9297,6085 is 1.


Lets's calculate LCM of 366,7088

2 366, 7088
183, 3544

∴ So the LCM of the given numbers is 2 x 183 x 3544 = 1297104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297104

Therefore, the GCF of Fractions 9297/366,6085/7088 is 1/1297104

Least Common Multiple of 366,7088 with GCF Formula

Least Common Multiple of 366,7088 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 366,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,7088) = 2

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

GCF(366,7088) x common factors =2 x 1 = 2

LCM(366,7088) = ( 366 × 7088 ) / 2

LCM(366,7088) = 2594208 / 2

LCM(366,7088) = 1297104


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 9297/366, 6085/7088

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 9297/366, 6085/7088?

Answer: GCF of Numerators as per given numbers 9297/366, 6085/7088 is

GCF of Numerators i.e. for 9297,6085 is 1

LCM of denominators i.e. for 366,7088 is 1297104.

Thus, GCF of Fractions is 1/1297104.Finally, GCF of Fractions for 9297/366, 6085/7088 is 1/1297104.