Greatest Common Factor of 9469/846, 9096/9274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9469/846, 9096/9274

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 9469/846,9096/9274

Given fractions are 9469/846,9096/9274

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 9469,9096

Greatest Common Factor of Numerators i.e. GCF of 9469,9096 is 1 .

LCM of Denominators means LCM of 846,9274 as per the given fractions.

LCM of 846,9274 is 3922902 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9469,9096

GCF of Fractions 9469/846,9096/9274 is 1/3922902

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

Greatest Common Factor of 9469,9096 By Matching Biggest Common Factor Method

Greatest Common Factor of 9469,9096 By Matching Biggest Common Factor Method

Factors of 9469

List of positive integer factors of 9469 that divides 9469 without a remainder.

1,17,557,9469

Factors of 9096

List of positive integer factors of 9096 that divides 9096 without a remainder.

1,2,3,4,6,8,12,24,379,758,1137,1516,2274,3032,4548,9096

Greatest Common Factor

We found the factors 9469,9096 . The biggest common factor number is the GCF number.
So the greatest common factor 9469,9096 is 1.

Lets's calculate LCM of 846,9274

2 846, 9274
423, 4637

∴ So the LCM of the given numbers is 2 x 423 x 4637 = 3922902

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3922902

Therefore, the GCF of Fractions 9469/846,9096/9274 is 1/3922902

Least Common Multiple of 846,9274 with GCF Formula

Least Common Multiple of 846,9274 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 846,9274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,9274) = 2

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

GCF(846,9274) x common factors =2 x 1 = 2

LCM(846,9274) = ( 846 × 9274 ) / 2

LCM(846,9274) = 7845804 / 2

LCM(846,9274) = 3922902


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 9469/846, 9096/9274

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 9469/846, 9096/9274?

Answer: GCF of Numerators as per given numbers 9469/846, 9096/9274 is

GCF of Numerators i.e. for 9469,9096 is 1

LCM of denominators i.e. for 846,9274 is 3922902.

Thus, GCF of Fractions is 1/3922902.Finally, GCF of Fractions for 9469/846, 9096/9274 is 1/3922902.