Greatest Common Factor of 9058/28, 6692/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9058/28, 6692/333

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 9058/28,6692/333

Given fractions are 9058/28,6692/333

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 9058,6692

Greatest Common Factor of Numerators i.e. GCF of 9058,6692 is 14 .

LCM of Denominators means LCM of 28,333 as per the given fractions.

LCM of 28,333 is 9324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9058,6692

GCF of Fractions 9058/28,6692/333 is 14/9324

2 9058, 6692
7 4529, 3346
647, 478

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

Greatest Common Factor of 9058,6692 By Matching Biggest Common Factor Method

Greatest Common Factor of 9058,6692 By Matching Biggest Common Factor Method

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1,2,7,14,647,1294,4529,9058

Factors of 6692

List of positive integer factors of 6692 that divides 6692 without a remainder.

1,2,4,7,14,28,239,478,956,1673,3346,6692

Greatest Common Factor

We found the factors 9058,6692 . The biggest common factor number is the GCF number.
So the greatest common factor 9058,6692 is 14.

Lets's calculate LCM of 28,333

Given numbers has no common factors except 1. So, there LCM is their product i.e 9324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/9324

Therefore, the GCF of Fractions 9058/28,6692/333 is 14/9324

Least Common Multiple of 28,333 with GCF Formula

Least Common Multiple of 28,333 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 28,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,333) = 1

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

GCF(28,333) x common factors =1 x 1 = 1

LCM(28,333) = ( 28 × 333 ) / 1

LCM(28,333) = 9324 / 1

LCM(28,333) = 9324


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 9058/28, 6692/333

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 9058/28, 6692/333?

Answer: GCF of Numerators as per given numbers 9058/28, 6692/333 is

GCF of Numerators i.e. for 9058,6692 is 14

LCM of denominators i.e. for 28,333 is 9324.

Thus, GCF of Fractions is 14/9324.Finally, GCF of Fractions for 9058/28, 6692/333 is 14/9324.