Greatest Common Factor of 6817/410, 8118/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6817/410, 8118/254

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 6817/410,8118/254

Given fractions are 6817/410,8118/254

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 6817,8118

Greatest Common Factor of Numerators i.e. GCF of 6817,8118 is 1 .

LCM of Denominators means LCM of 410,254 as per the given fractions.

LCM of 410,254 is 52070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6817,8118

GCF of Fractions 6817/410,8118/254 is 1/52070

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

Greatest Common Factor of 6817,8118 By Matching Biggest Common Factor Method

Greatest Common Factor of 6817,8118 By Matching Biggest Common Factor Method

Factors of 6817

List of positive integer factors of 6817 that divides 6817 without a remainder.

1,17,401,6817

Factors of 8118

List of positive integer factors of 8118 that divides 8118 without a remainder.

1,2,3,6,9,11,18,22,33,41,66,82,99,123,198,246,369,451,738,902,1353,2706,4059,8118

Greatest Common Factor

We found the factors 6817,8118 . The biggest common factor number is the GCF number.
So the greatest common factor 6817,8118 is 1.

Lets's calculate LCM of 410,254

2 410, 254
205, 127

∴ So the LCM of the given numbers is 2 x 205 x 127 = 52070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52070

Therefore, the GCF of Fractions 6817/410,8118/254 is 1/52070

Least Common Multiple of 410,254 with GCF Formula

Least Common Multiple of 410,254 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 410,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,254) = 2

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

GCF(410,254) x common factors =2 x 1 = 2

LCM(410,254) = ( 410 × 254 ) / 2

LCM(410,254) = 104140 / 2

LCM(410,254) = 52070


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 6817/410, 8118/254

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 6817/410, 8118/254?

Answer: GCF of Numerators as per given numbers 6817/410, 8118/254 is

GCF of Numerators i.e. for 6817,8118 is 1

LCM of denominators i.e. for 410,254 is 52070.

Thus, GCF of Fractions is 1/52070.Finally, GCF of Fractions for 6817/410, 8118/254 is 1/52070.