Greatest Common Factor of 7095/318, 6802/7986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7095/318, 6802/7986

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 7095/318,6802/7986

Given fractions are 7095/318,6802/7986

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 7095,6802

Greatest Common Factor of Numerators i.e. GCF of 7095,6802 is 1 .

LCM of Denominators means LCM of 318,7986 as per the given fractions.

LCM of 318,7986 is 423258 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7095,6802

GCF of Fractions 7095/318,6802/7986 is 1/423258

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

Greatest Common Factor of 7095,6802 By Matching Biggest Common Factor Method

Greatest Common Factor of 7095,6802 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 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1,2,19,38,179,358,3401,6802

Greatest Common Factor

We found the factors 7095,6802 . The biggest common factor number is the GCF number.
So the greatest common factor 7095,6802 is 1.

Lets's calculate LCM of 318,7986

2 318, 7986
3 159, 3993
53, 1331

∴ So the LCM of the given numbers is 2 x 3 x 53 x 1331 = 423258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/423258

Therefore, the GCF of Fractions 7095/318,6802/7986 is 1/423258

Least Common Multiple of 318,7986 with GCF Formula

Least Common Multiple of 318,7986 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 318,7986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,7986) = 6

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

GCF(318,7986) x common factors =6 x 1 = 6

LCM(318,7986) = ( 318 × 7986 ) / 6

LCM(318,7986) = 2539548 / 6

LCM(318,7986) = 423258


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 7095/318, 6802/7986

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 7095/318, 6802/7986?

Answer: GCF of Numerators as per given numbers 7095/318, 6802/7986 is

GCF of Numerators i.e. for 7095,6802 is 1

LCM of denominators i.e. for 318,7986 is 423258.

Thus, GCF of Fractions is 1/423258.Finally, GCF of Fractions for 7095/318, 6802/7986 is 1/423258.