Greatest Common Factor of 8250/396, 9727/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8250/396, 9727/314

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 8250/396,9727/314

Given fractions are 8250/396,9727/314

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 8250,9727

Greatest Common Factor of Numerators i.e. GCF of 8250,9727 is 1 .

LCM of Denominators means LCM of 396,314 as per the given fractions.

LCM of 396,314 is 62172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8250,9727

GCF of Fractions 8250/396,9727/314 is 1/62172

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

Greatest Common Factor of 8250,9727 By Matching Biggest Common Factor Method

Greatest Common Factor of 8250,9727 By Matching Biggest Common Factor Method

Factors of 8250

List of positive integer factors of 8250 that divides 8250 without a remainder.

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,125,150,165,250,275,330,375,550,750,825,1375,1650,2750,4125,8250

Factors of 9727

List of positive integer factors of 9727 that divides 9727 without a remainder.

1,71,137,9727

Greatest Common Factor

We found the factors 8250,9727 . The biggest common factor number is the GCF number.
So the greatest common factor 8250,9727 is 1.

Lets's calculate LCM of 396,314

2 396, 314
198, 157

∴ So the LCM of the given numbers is 2 x 198 x 157 = 62172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62172

Therefore, the GCF of Fractions 8250/396,9727/314 is 1/62172

Least Common Multiple of 396,314 with GCF Formula

Least Common Multiple of 396,314 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 396,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,314) = 2

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

GCF(396,314) x common factors =2 x 1 = 2

LCM(396,314) = ( 396 × 314 ) / 2

LCM(396,314) = 124344 / 2

LCM(396,314) = 62172


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 8250/396, 9727/314

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 8250/396, 9727/314?

Answer: GCF of Numerators as per given numbers 8250/396, 9727/314 is

GCF of Numerators i.e. for 8250,9727 is 1

LCM of denominators i.e. for 396,314 is 62172.

Thus, GCF of Fractions is 1/62172.Finally, GCF of Fractions for 8250/396, 9727/314 is 1/62172.