Greatest Common Factor of 8113/726, 1465/8961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8113/726, 1465/8961

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 8113/726,1465/8961

Given fractions are 8113/726,1465/8961

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 8113,1465

Greatest Common Factor of Numerators i.e. GCF of 8113,1465 is 1 .

LCM of Denominators means LCM of 726,8961 as per the given fractions.

LCM of 726,8961 is 2168562 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8113,1465

GCF of Fractions 8113/726,1465/8961 is 1/2168562

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

Greatest Common Factor of 8113,1465 By Matching Biggest Common Factor Method

Greatest Common Factor of 8113,1465 By Matching Biggest Common Factor Method

Factors of 8113

List of positive integer factors of 8113 that divides 8113 without a remainder.

1,7,19,61,133,427,1159,8113

Factors of 1465

List of positive integer factors of 1465 that divides 1465 without a remainder.

1,5,293,1465

Greatest Common Factor

We found the factors 8113,1465 . The biggest common factor number is the GCF number.
So the greatest common factor 8113,1465 is 1.

Lets's calculate LCM of 726,8961

3 726, 8961
242, 2987

∴ So the LCM of the given numbers is 3 x 242 x 2987 = 2168562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2168562

Therefore, the GCF of Fractions 8113/726,1465/8961 is 1/2168562

Least Common Multiple of 726,8961 with GCF Formula

Least Common Multiple of 726,8961 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 726,8961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,8961) = 3

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

GCF(726,8961) x common factors =3 x 1 = 3

LCM(726,8961) = ( 726 × 8961 ) / 3

LCM(726,8961) = 6505686 / 3

LCM(726,8961) = 2168562


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 8113/726, 1465/8961

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 8113/726, 1465/8961?

Answer: GCF of Numerators as per given numbers 8113/726, 1465/8961 is

GCF of Numerators i.e. for 8113,1465 is 1

LCM of denominators i.e. for 726,8961 is 2168562.

Thus, GCF of Fractions is 1/2168562.Finally, GCF of Fractions for 8113/726, 1465/8961 is 1/2168562.