Greatest Common Factor of 8371/776, 6190/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8371/776, 6190/9165

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 8371/776,6190/9165

Given fractions are 8371/776,6190/9165

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 8371,6190

Greatest Common Factor of Numerators i.e. GCF of 8371,6190 is 1 .

LCM of Denominators means LCM of 776,9165 as per the given fractions.

LCM of 776,9165 is 7112040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8371,6190

GCF of Fractions 8371/776,6190/9165 is 1/7112040

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

Greatest Common Factor of 8371,6190 By Matching Biggest Common Factor Method

Greatest Common Factor of 8371,6190 By Matching Biggest Common Factor Method

Factors of 8371

List of positive integer factors of 8371 that divides 8371 without a remainder.

1,11,761,8371

Factors of 6190

List of positive integer factors of 6190 that divides 6190 without a remainder.

1,2,5,10,619,1238,3095,6190

Greatest Common Factor

We found the factors 8371,6190 . The biggest common factor number is the GCF number.
So the greatest common factor 8371,6190 is 1.

Lets's calculate LCM of 776,9165

Given numbers has no common factors except 1. So, there LCM is their product i.e 7112040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7112040

Therefore, the GCF of Fractions 8371/776,6190/9165 is 1/7112040

Least Common Multiple of 776,9165 with GCF Formula

Least Common Multiple of 776,9165 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 776,9165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(776,9165) = 1

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

GCF(776,9165) x common factors =1 x 1 = 1

LCM(776,9165) = ( 776 × 9165 ) / 1

LCM(776,9165) = 7112040 / 1

LCM(776,9165) = 7112040


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 8371/776, 6190/9165

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 8371/776, 6190/9165?

Answer: GCF of Numerators as per given numbers 8371/776, 6190/9165 is

GCF of Numerators i.e. for 8371,6190 is 1

LCM of denominators i.e. for 776,9165 is 7112040.

Thus, GCF of Fractions is 1/7112040.Finally, GCF of Fractions for 8371/776, 6190/9165 is 1/7112040.