Greatest Common Factor of 9809/734, 7453/9776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9809/734, 7453/9776

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 9809/734,7453/9776

Given fractions are 9809/734,7453/9776

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 9809,7453

Greatest Common Factor of Numerators i.e. GCF of 9809,7453 is 1 .

LCM of Denominators means LCM of 734,9776 as per the given fractions.

LCM of 734,9776 is 3587792 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9809,7453

GCF of Fractions 9809/734,7453/9776 is 1/3587792

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

Greatest Common Factor of 9809,7453 By Matching Biggest Common Factor Method

Greatest Common Factor of 9809,7453 By Matching Biggest Common Factor Method

Factors of 9809

List of positive integer factors of 9809 that divides 9809 without a remainder.

1,17,577,9809

Factors of 7453

List of positive integer factors of 7453 that divides 7453 without a remainder.

1,29,257,7453

Greatest Common Factor

We found the factors 9809,7453 . The biggest common factor number is the GCF number.
So the greatest common factor 9809,7453 is 1.

Lets's calculate LCM of 734,9776

2 734, 9776
367, 4888

∴ So the LCM of the given numbers is 2 x 367 x 4888 = 3587792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3587792

Therefore, the GCF of Fractions 9809/734,7453/9776 is 1/3587792

Least Common Multiple of 734,9776 with GCF Formula

Least Common Multiple of 734,9776 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 734,9776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(734,9776) = 2

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

GCF(734,9776) x common factors =2 x 1 = 2

LCM(734,9776) = ( 734 × 9776 ) / 2

LCM(734,9776) = 7175584 / 2

LCM(734,9776) = 3587792


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 9809/734, 7453/9776

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 9809/734, 7453/9776?

Answer: GCF of Numerators as per given numbers 9809/734, 7453/9776 is

GCF of Numerators i.e. for 9809,7453 is 1

LCM of denominators i.e. for 734,9776 is 3587792.

Thus, GCF of Fractions is 1/3587792.Finally, GCF of Fractions for 9809/734, 7453/9776 is 1/3587792.