Greatest Common Factor of 8348/685, 6328/9248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8348/685, 6328/9248

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 8348/685,6328/9248

Given fractions are 8348/685,6328/9248

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 8348,6328

Greatest Common Factor of Numerators i.e. GCF of 8348,6328 is 4 .

LCM of Denominators means LCM of 685,9248 as per the given fractions.

LCM of 685,9248 is 6334880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8348,6328

GCF of Fractions 8348/685,6328/9248 is 4/6334880

2 8348, 6328
2 4174, 3164
2087, 1582

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

Greatest Common Factor of 8348,6328 By Matching Biggest Common Factor Method

Greatest Common Factor of 8348,6328 By Matching Biggest Common Factor Method

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1,2,4,2087,4174,8348

Factors of 6328

List of positive integer factors of 6328 that divides 6328 without a remainder.

1,2,4,7,8,14,28,56,113,226,452,791,904,1582,3164,6328

Greatest Common Factor

We found the factors 8348,6328 . The biggest common factor number is the GCF number.
So the greatest common factor 8348,6328 is 4.

Lets's calculate LCM of 685,9248

Given numbers has no common factors except 1. So, there LCM is their product i.e 6334880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6334880

Therefore, the GCF of Fractions 8348/685,6328/9248 is 4/6334880

Least Common Multiple of 685,9248 with GCF Formula

Least Common Multiple of 685,9248 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 685,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,9248) = 1

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

GCF(685,9248) x common factors =1 x 1 = 1

LCM(685,9248) = ( 685 × 9248 ) / 1

LCM(685,9248) = 6334880 / 1

LCM(685,9248) = 6334880


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 8348/685, 6328/9248

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 8348/685, 6328/9248?

Answer: GCF of Numerators as per given numbers 8348/685, 6328/9248 is

GCF of Numerators i.e. for 8348,6328 is 4

LCM of denominators i.e. for 685,9248 is 6334880.

Thus, GCF of Fractions is 4/6334880.Finally, GCF of Fractions for 8348/685, 6328/9248 is 4/6334880.