Greatest Common Factor of 6305/133, 9267/7453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6305/133, 9267/7453

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 6305/133,9267/7453

Given fractions are 6305/133,9267/7453

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 6305,9267

Greatest Common Factor of Numerators i.e. GCF of 6305,9267 is 1 .

LCM of Denominators means LCM of 133,7453 as per the given fractions.

LCM of 133,7453 is 991249 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6305,9267

GCF of Fractions 6305/133,9267/7453 is 1/991249

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

Greatest Common Factor of 6305,9267 By Matching Biggest Common Factor Method

Greatest Common Factor of 6305,9267 By Matching Biggest Common Factor Method

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1,5,13,65,97,485,1261,6305

Factors of 9267

List of positive integer factors of 9267 that divides 9267 without a remainder.

1,3,3089,9267

Greatest Common Factor

We found the factors 6305,9267 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,9267 is 1.

Lets's calculate LCM of 133,7453

Given numbers has no common factors except 1. So, there LCM is their product i.e 991249

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/991249

Therefore, the GCF of Fractions 6305/133,9267/7453 is 1/991249

Least Common Multiple of 133,7453 with GCF Formula

Least Common Multiple of 133,7453 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 133,7453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,7453) = 1

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

GCF(133,7453) x common factors =1 x 1 = 1

LCM(133,7453) = ( 133 × 7453 ) / 1

LCM(133,7453) = 991249 / 1

LCM(133,7453) = 991249


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 6305/133, 9267/7453

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 6305/133, 9267/7453?

Answer: GCF of Numerators as per given numbers 6305/133, 9267/7453 is

GCF of Numerators i.e. for 6305,9267 is 1

LCM of denominators i.e. for 133,7453 is 991249.

Thus, GCF of Fractions is 1/991249.Finally, GCF of Fractions for 6305/133, 9267/7453 is 1/991249.