Greatest Common Factor of 7095/717, 8049/8661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7095/717, 8049/8661

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 7095/717,8049/8661

Given fractions are 7095/717,8049/8661

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 7095,8049

Greatest Common Factor of Numerators i.e. GCF of 7095,8049 is 3 .

LCM of Denominators means LCM of 717,8661 as per the given fractions.

LCM of 717,8661 is 2069979 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7095,8049

GCF of Fractions 7095/717,8049/8661 is 3/2069979

3 7095, 8049
2365, 2683

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7095,8049 By Matching Biggest Common Factor Method

Greatest Common Factor of 7095,8049 By Matching Biggest Common Factor Method

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

Greatest Common Factor

We found the factors 7095,8049 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,8049 is 3.

Lets's calculate LCM of 717,8661

3 717, 8661
239, 2887

∴ So the LCM of the given numbers is 3 x 239 x 2887 = 2069979

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2069979

Therefore, the GCF of Fractions 7095/717,8049/8661 is 3/2069979

Least Common Multiple of 717,8661 with GCF Formula

Least Common Multiple of 717,8661 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 717,8661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(717,8661) = 3

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

GCF(717,8661) x common factors =3 x 1 = 3

LCM(717,8661) = ( 717 × 8661 ) / 3

LCM(717,8661) = 6209937 / 3

LCM(717,8661) = 2069979


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 7095/717, 8049/8661

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 7095/717, 8049/8661?

Answer: GCF of Numerators as per given numbers 7095/717, 8049/8661 is

GCF of Numerators i.e. for 7095,8049 is 3

LCM of denominators i.e. for 717,8661 is 2069979.

Thus, GCF of Fractions is 3/2069979.Finally, GCF of Fractions for 7095/717, 8049/8661 is 3/2069979.