Greatest Common Factor of 9132/727, 9367/4742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9132/727, 9367/4742

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 9132/727,9367/4742

Given fractions are 9132/727,9367/4742

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 9132,9367

Greatest Common Factor of Numerators i.e. GCF of 9132,9367 is 1 .

LCM of Denominators means LCM of 727,4742 as per the given fractions.

LCM of 727,4742 is 3447434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9132,9367

GCF of Fractions 9132/727,9367/4742 is 1/3447434

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

Greatest Common Factor of 9132,9367 By Matching Biggest Common Factor Method

Greatest Common Factor of 9132,9367 By Matching Biggest Common Factor Method

Factors of 9132

List of positive integer factors of 9132 that divides 9132 without a remainder.

1,2,3,4,6,12,761,1522,2283,3044,4566,9132

Factors of 9367

List of positive integer factors of 9367 that divides 9367 without a remainder.

1,17,19,29,323,493,551,9367

Greatest Common Factor

We found the factors 9132,9367 . The biggest common factor number is the GCF number.
So the greatest common factor 9132,9367 is 1.

Lets's calculate LCM of 727,4742

Given numbers has no common factors except 1. So, there LCM is their product i.e 3447434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447434

Therefore, the GCF of Fractions 9132/727,9367/4742 is 1/3447434

Least Common Multiple of 727,4742 with GCF Formula

Least Common Multiple of 727,4742 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 727,4742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,4742) = 1

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

GCF(727,4742) x common factors =1 x 1 = 1

LCM(727,4742) = ( 727 × 4742 ) / 1

LCM(727,4742) = 3447434 / 1

LCM(727,4742) = 3447434


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 9132/727, 9367/4742

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 9132/727, 9367/4742?

Answer: GCF of Numerators as per given numbers 9132/727, 9367/4742 is

GCF of Numerators i.e. for 9132,9367 is 1

LCM of denominators i.e. for 727,4742 is 3447434.

Thus, GCF of Fractions is 1/3447434.Finally, GCF of Fractions for 9132/727, 9367/4742 is 1/3447434.