Greatest Common Factor of 616/387, 6413/7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 616/387, 6413/7314

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 616/387,6413/7314

Given fractions are 616/387,6413/7314

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 616,6413

Greatest Common Factor of Numerators i.e. GCF of 616,6413 is 11 .

LCM of Denominators means LCM of 387,7314 as per the given fractions.

LCM of 387,7314 is 943506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 616,6413

GCF of Fractions 616/387,6413/7314 is 11/943506

11 616, 6413
56, 583

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 616,6413 By Matching Biggest Common Factor Method

Greatest Common Factor of 616,6413 By Matching Biggest Common Factor Method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Factors of 6413

List of positive integer factors of 6413 that divides 6413 without a remainder.

1,11,53,121,583,6413

Greatest Common Factor

We found the factors 616,6413 . The biggest common factor number is the GCF number.
So the greatest common factor 616,6413 is 11.

Lets's calculate LCM of 387,7314

3 387, 7314
129, 2438

∴ So the LCM of the given numbers is 3 x 129 x 2438 = 943506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/943506

Therefore, the GCF of Fractions 616/387,6413/7314 is 11/943506

Least Common Multiple of 387,7314 with GCF Formula

Least Common Multiple of 387,7314 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 387,7314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,7314) = 3

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

GCF(387,7314) x common factors =3 x 1 = 3

LCM(387,7314) = ( 387 × 7314 ) / 3

LCM(387,7314) = 2830518 / 3

LCM(387,7314) = 943506


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 616/387, 6413/7314

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 616/387, 6413/7314?

Answer: GCF of Numerators as per given numbers 616/387, 6413/7314 is

GCF of Numerators i.e. for 616,6413 is 11

LCM of denominators i.e. for 387,7314 is 943506.

Thus, GCF of Fractions is 11/943506.Finally, GCF of Fractions for 616/387, 6413/7314 is 11/943506.