Greatest Common Factor of 227/240, 965/860, 334/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 227/240, 965/860, 334/314

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 227/240,965/860,334/314

Given fractions are 227/240,965/860,334/314

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 227,965,334

Greatest Common Factor of Numerators i.e. GCF of 227,965,334 is 1 .

LCM of Denominators means LCM of 240,860,314 as per the given fractions.

LCM of 240,860,314 is 1620240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 227,965,334

GCF of Fractions 227/240,965/860,334/314 is 1/1620240

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

Greatest Common Factor of 227,965,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 227,965,334 By Matching Biggest Common Factor Method

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 227,965,334 . The biggest common factor number is the GCF number.
So the greatest common factor 227,965,334 is 1.

Lets's calculate LCM of 240,860,314

2 240, 860, 314
2 120, 430, 157
5 60, 215, 157
12, 43, 157

∴ So the LCM of the given numbers is 2 x 2 x 5 x 12 x 43 x 157 = 1620240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620240

Therefore, the GCF of Fractions 227/240,965/860,334/314 is 1/1620240

Least Common Multiple of 240,860,314 with GCF Formula

Least Common Multiple of 240,860,314 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 240,860,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(240,860,314) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(240,860,314) x common factors =2 x 20 = 40

LCM(240,860,314) = ( 240 × 860 × 314 ) / 40

LCM(240,860,314) = 64809600 / 40

LCM(240,860,314) = 1620240


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 227/240, 965/860, 334/314

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 227/240, 965/860, 334/314?

Answer: GCF of Numerators as per given numbers 227/240, 965/860, 334/314 is

GCF of Numerators i.e. for 227,965,334 is 1

LCM of denominators i.e. for 240,860,314 is 1620240.

Thus, GCF of Fractions is 1/1620240.Finally, GCF of Fractions for 227/240, 965/860, 334/314 is 1/1620240.