Greatest Common Factor of 9338/129, 3416/5385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9338/129, 3416/5385

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 9338/129,3416/5385

Given fractions are 9338/129,3416/5385

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 9338,3416

Greatest Common Factor of Numerators i.e. GCF of 9338,3416 is 14 .

LCM of Denominators means LCM of 129,5385 as per the given fractions.

LCM of 129,5385 is 231555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9338,3416

GCF of Fractions 9338/129,3416/5385 is 14/231555

2 9338, 3416
7 4669, 1708
667, 244

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9338,3416 By Matching Biggest Common Factor Method

Greatest Common Factor of 9338,3416 By Matching Biggest Common Factor Method

Factors of 9338

List of positive integer factors of 9338 that divides 9338 without a remainder.

1,2,7,14,23,29,46,58,161,203,322,406,667,1334,4669,9338

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1,2,4,7,8,14,28,56,61,122,244,427,488,854,1708,3416

Greatest Common Factor

We found the factors 9338,3416 . The biggest common factor number is the GCF number.
So the greatest common factor 9338,3416 is 14.

Lets's calculate LCM of 129,5385

3 129, 5385
43, 1795

∴ So the LCM of the given numbers is 3 x 43 x 1795 = 231555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/231555

Therefore, the GCF of Fractions 9338/129,3416/5385 is 14/231555

Least Common Multiple of 129,5385 with GCF Formula

Least Common Multiple of 129,5385 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 129,5385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(129,5385) = 3

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

GCF(129,5385) x common factors =3 x 1 = 3

LCM(129,5385) = ( 129 × 5385 ) / 3

LCM(129,5385) = 694665 / 3

LCM(129,5385) = 231555


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 9338/129, 3416/5385

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 9338/129, 3416/5385?

Answer: GCF of Numerators as per given numbers 9338/129, 3416/5385 is

GCF of Numerators i.e. for 9338,3416 is 14

LCM of denominators i.e. for 129,5385 is 231555.

Thus, GCF of Fractions is 14/231555.Finally, GCF of Fractions for 9338/129, 3416/5385 is 14/231555.