Greatest Common Factor of 9739/665, 7928/6907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9739/665, 7928/6907

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 9739/665,7928/6907

Given fractions are 9739/665,7928/6907

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 9739,7928

Greatest Common Factor of Numerators i.e. GCF of 9739,7928 is 1 .

LCM of Denominators means LCM of 665,6907 as per the given fractions.

LCM of 665,6907 is 4593155 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9739,7928

GCF of Fractions 9739/665,7928/6907 is 1/4593155

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

Greatest Common Factor of 9739,7928 By Matching Biggest Common Factor Method

Greatest Common Factor of 9739,7928 By Matching Biggest Common Factor Method

Factors of 9739

List of positive integer factors of 9739 that divides 9739 without a remainder.

1,9739

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Greatest Common Factor

We found the factors 9739,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 9739,7928 is 1.

Lets's calculate LCM of 665,6907

Given numbers has no common factors except 1. So, there LCM is their product i.e 4593155

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4593155

Therefore, the GCF of Fractions 9739/665,7928/6907 is 1/4593155

Least Common Multiple of 665,6907 with GCF Formula

Least Common Multiple of 665,6907 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 665,6907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,6907) = 1

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

GCF(665,6907) x common factors =1 x 1 = 1

LCM(665,6907) = ( 665 × 6907 ) / 1

LCM(665,6907) = 4593155 / 1

LCM(665,6907) = 4593155


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 9739/665, 7928/6907

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 9739/665, 7928/6907?

Answer: GCF of Numerators as per given numbers 9739/665, 7928/6907 is

GCF of Numerators i.e. for 9739,7928 is 1

LCM of denominators i.e. for 665,6907 is 4593155.

Thus, GCF of Fractions is 1/4593155.Finally, GCF of Fractions for 9739/665, 7928/6907 is 1/4593155.