Greatest Common Factor of 9546/242, 4807/9072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9546/242, 4807/9072

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 9546/242,4807/9072

Given fractions are 9546/242,4807/9072

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 9546,4807

Greatest Common Factor of Numerators i.e. GCF of 9546,4807 is 1 .

LCM of Denominators means LCM of 242,9072 as per the given fractions.

LCM of 242,9072 is 1097712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9546,4807

GCF of Fractions 9546/242,4807/9072 is 1/1097712

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

Greatest Common Factor of 9546,4807 By Matching Biggest Common Factor Method

Greatest Common Factor of 9546,4807 By Matching Biggest Common Factor Method

Factors of 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546

Factors of 4807

List of positive integer factors of 4807 that divides 4807 without a remainder.

1,11,19,23,209,253,437,4807

Greatest Common Factor

We found the factors 9546,4807 . The biggest common factor number is the GCF number.
So the greatest common factor 9546,4807 is 1.

Lets's calculate LCM of 242,9072

2 242, 9072
121, 4536

∴ So the LCM of the given numbers is 2 x 121 x 4536 = 1097712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1097712

Therefore, the GCF of Fractions 9546/242,4807/9072 is 1/1097712

Least Common Multiple of 242,9072 with GCF Formula

Least Common Multiple of 242,9072 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 242,9072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,9072) = 2

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

GCF(242,9072) x common factors =2 x 1 = 2

LCM(242,9072) = ( 242 × 9072 ) / 2

LCM(242,9072) = 2195424 / 2

LCM(242,9072) = 1097712


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 9546/242, 4807/9072

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 9546/242, 4807/9072?

Answer: GCF of Numerators as per given numbers 9546/242, 4807/9072 is

GCF of Numerators i.e. for 9546,4807 is 1

LCM of denominators i.e. for 242,9072 is 1097712.

Thus, GCF of Fractions is 1/1097712.Finally, GCF of Fractions for 9546/242, 4807/9072 is 1/1097712.