Greatest Common Factor of 3989/726, 7664/9611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3989/726, 7664/9611

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 3989/726,7664/9611

Given fractions are 3989/726,7664/9611

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 3989,7664

Greatest Common Factor of Numerators i.e. GCF of 3989,7664 is 1 .

LCM of Denominators means LCM of 726,9611 as per the given fractions.

LCM of 726,9611 is 6977586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3989,7664

GCF of Fractions 3989/726,7664/9611 is 1/6977586

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

Greatest Common Factor of 3989,7664 By Matching Biggest Common Factor Method

Greatest Common Factor of 3989,7664 By Matching Biggest Common Factor Method

Factors of 3989

List of positive integer factors of 3989 that divides 3989 without a remainder.

1,3989

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

Greatest Common Factor

We found the factors 3989,7664 . The biggest common factor number is the GCF number.
So the greatest common factor 3989,7664 is 1.

Lets's calculate LCM of 726,9611

Given numbers has no common factors except 1. So, there LCM is their product i.e 6977586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6977586

Therefore, the GCF of Fractions 3989/726,7664/9611 is 1/6977586

Least Common Multiple of 726,9611 with GCF Formula

Least Common Multiple of 726,9611 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 726,9611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,9611) = 1

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

GCF(726,9611) x common factors =1 x 1 = 1

LCM(726,9611) = ( 726 × 9611 ) / 1

LCM(726,9611) = 6977586 / 1

LCM(726,9611) = 6977586


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 3989/726, 7664/9611

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 3989/726, 7664/9611?

Answer: GCF of Numerators as per given numbers 3989/726, 7664/9611 is

GCF of Numerators i.e. for 3989,7664 is 1

LCM of denominators i.e. for 726,9611 is 6977586.

Thus, GCF of Fractions is 1/6977586.Finally, GCF of Fractions for 3989/726, 7664/9611 is 1/6977586.