Greatest Common Factor of 1366/314, 5046/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1366/314, 5046/734

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 1366/314,5046/734

Given fractions are 1366/314,5046/734

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 1366,5046

Greatest Common Factor of Numerators i.e. GCF of 1366,5046 is 2 .

LCM of Denominators means LCM of 314,734 as per the given fractions.

LCM of 314,734 is 115238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1366,5046

GCF of Fractions 1366/314,5046/734 is 2/115238

2 1366, 5046
683, 2523

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

Greatest Common Factor of 1366,5046 By Matching Biggest Common Factor Method

Greatest Common Factor of 1366,5046 By Matching Biggest Common Factor Method

Factors of 1366

List of positive integer factors of 1366 that divides 1366 without a remainder.

1,2,683,1366

Factors of 5046

List of positive integer factors of 5046 that divides 5046 without a remainder.

1,2,3,6,29,58,87,174,841,1682,2523,5046

Greatest Common Factor

We found the factors 1366,5046 . The biggest common factor number is the GCF number.
So the greatest common factor 1366,5046 is 2.

Lets's calculate LCM of 314,734

2 314, 734
157, 367

∴ So the LCM of the given numbers is 2 x 157 x 367 = 115238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115238

Therefore, the GCF of Fractions 1366/314,5046/734 is 2/115238

Least Common Multiple of 314,734 with GCF Formula

Least Common Multiple of 314,734 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 314,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(314,734) = 2

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

GCF(314,734) x common factors =2 x 1 = 2

LCM(314,734) = ( 314 × 734 ) / 2

LCM(314,734) = 230476 / 2

LCM(314,734) = 115238


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 1366/314, 5046/734

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 1366/314, 5046/734?

Answer: GCF of Numerators as per given numbers 1366/314, 5046/734 is

GCF of Numerators i.e. for 1366,5046 is 2

LCM of denominators i.e. for 314,734 is 115238.

Thus, GCF of Fractions is 2/115238.Finally, GCF of Fractions for 1366/314, 5046/734 is 2/115238.