Greatest Common Factor of 8071/78, 6182/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8071/78, 6182/703

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 8071/78,6182/703

Given fractions are 8071/78,6182/703

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 8071,6182

Greatest Common Factor of Numerators i.e. GCF of 8071,6182 is 1 .

LCM of Denominators means LCM of 78,703 as per the given fractions.

LCM of 78,703 is 54834 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8071,6182

GCF of Fractions 8071/78,6182/703 is 1/54834

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

Greatest Common Factor of 8071,6182 By Matching Biggest Common Factor Method

Greatest Common Factor of 8071,6182 By Matching Biggest Common Factor Method

Factors of 8071

List of positive integer factors of 8071 that divides 8071 without a remainder.

1,7,1153,8071

Factors of 6182

List of positive integer factors of 6182 that divides 6182 without a remainder.

1,2,11,22,281,562,3091,6182

Greatest Common Factor

We found the factors 8071,6182 . The biggest common factor number is the GCF number.
So the greatest common factor 8071,6182 is 1.

Lets's calculate LCM of 78,703

Given numbers has no common factors except 1. So, there LCM is their product i.e 54834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54834

Therefore, the GCF of Fractions 8071/78,6182/703 is 1/54834

Least Common Multiple of 78,703 with GCF Formula

Least Common Multiple of 78,703 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 78,703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,703) = 1

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

GCF(78,703) x common factors =1 x 1 = 1

LCM(78,703) = ( 78 × 703 ) / 1

LCM(78,703) = 54834 / 1

LCM(78,703) = 54834


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 8071/78, 6182/703

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 8071/78, 6182/703?

Answer: GCF of Numerators as per given numbers 8071/78, 6182/703 is

GCF of Numerators i.e. for 8071,6182 is 1

LCM of denominators i.e. for 78,703 is 54834.

Thus, GCF of Fractions is 1/54834.Finally, GCF of Fractions for 8071/78, 6182/703 is 1/54834.