Greatest Common Factor of 9643/296, 9332/6744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9643/296, 9332/6744

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 9643/296,9332/6744

Given fractions are 9643/296,9332/6744

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 9643,9332

Greatest Common Factor of Numerators i.e. GCF of 9643,9332 is 1 .

LCM of Denominators means LCM of 296,6744 as per the given fractions.

LCM of 296,6744 is 249528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9643,9332

GCF of Fractions 9643/296,9332/6744 is 1/249528

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

Greatest Common Factor of 9643,9332 By Matching Biggest Common Factor Method

Greatest Common Factor of 9643,9332 By Matching Biggest Common Factor Method

Factors of 9643

List of positive integer factors of 9643 that divides 9643 without a remainder.

1,9643

Factors of 9332

List of positive integer factors of 9332 that divides 9332 without a remainder.

1,2,4,2333,4666,9332

Greatest Common Factor

We found the factors 9643,9332 . The biggest common factor number is the GCF number.
So the greatest common factor 9643,9332 is 1.

Lets's calculate LCM of 296,6744

2 296, 6744
2 148, 3372
2 74, 1686
37, 843

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 843 = 249528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249528

Therefore, the GCF of Fractions 9643/296,9332/6744 is 1/249528

Least Common Multiple of 296,6744 with GCF Formula

Least Common Multiple of 296,6744 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 296,6744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,6744) = 8

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

GCF(296,6744) x common factors =8 x 1 = 8

LCM(296,6744) = ( 296 × 6744 ) / 8

LCM(296,6744) = 1996224 / 8

LCM(296,6744) = 249528


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 9643/296, 9332/6744

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 9643/296, 9332/6744?

Answer: GCF of Numerators as per given numbers 9643/296, 9332/6744 is

GCF of Numerators i.e. for 9643,9332 is 1

LCM of denominators i.e. for 296,6744 is 249528.

Thus, GCF of Fractions is 1/249528.Finally, GCF of Fractions for 9643/296, 9332/6744 is 1/249528.