Greatest Common Factor of 8468/25, 6308/227

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8468/25, 6308/227

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 8468/25,6308/227

Given fractions are 8468/25,6308/227

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 8468,6308

Greatest Common Factor of Numerators i.e. GCF of 8468,6308 is 4 .

LCM of Denominators means LCM of 25,227 as per the given fractions.

LCM of 25,227 is 5675 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8468,6308

GCF of Fractions 8468/25,6308/227 is 4/5675

2 8468, 6308
2 4234, 3154
2117, 1577

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8468,6308 By Matching Biggest Common Factor Method

Greatest Common Factor of 8468,6308 By Matching Biggest Common Factor Method

Factors of 8468

List of positive integer factors of 8468 that divides 8468 without a remainder.

1,2,4,29,58,73,116,146,292,2117,4234,8468

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1,2,4,19,38,76,83,166,332,1577,3154,6308

Greatest Common Factor

We found the factors 8468,6308 . The biggest common factor number is the GCF number.
So the greatest common factor 8468,6308 is 4.

Lets's calculate LCM of 25,227

Given numbers has no common factors except 1. So, there LCM is their product i.e 5675

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5675

Therefore, the GCF of Fractions 8468/25,6308/227 is 4/5675

Least Common Multiple of 25,227 with GCF Formula

Least Common Multiple of 25,227 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 25,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,227) = 1

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

GCF(25,227) x common factors =1 x 1 = 1

LCM(25,227) = ( 25 × 227 ) / 1

LCM(25,227) = 5675 / 1

LCM(25,227) = 5675


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 8468/25, 6308/227

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 8468/25, 6308/227?

Answer: GCF of Numerators as per given numbers 8468/25, 6308/227 is

GCF of Numerators i.e. for 8468,6308 is 4

LCM of denominators i.e. for 25,227 is 5675.

Thus, GCF of Fractions is 4/5675.Finally, GCF of Fractions for 8468/25, 6308/227 is 4/5675.