Greatest Common Factor of 99/10, 338/28, 134/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/10, 338/28, 134/933

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 99/10,338/28,134/933

Given fractions are 99/10,338/28,134/933

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 99,338,134

Greatest Common Factor of Numerators i.e. GCF of 99,338,134 is 1 .

LCM of Denominators means LCM of 10,28,933 as per the given fractions.

LCM of 10,28,933 is 130620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,338,134

GCF of Fractions 99/10,338/28,134/933 is 1/130620

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

Greatest Common Factor of 99,338,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,338,134 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 99,338,134 . The biggest common factor number is the GCF number.
So the greatest common factor 99,338,134 is 1.

Lets's calculate LCM of 10,28,933

2 10, 28, 933
5, 14, 933

∴ So the LCM of the given numbers is 2 x 5 x 14 x 933 = 130620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130620

Therefore, the GCF of Fractions 99/10,338/28,134/933 is 1/130620

Least Common Multiple of 10,28,933 with GCF Formula

Least Common Multiple of 10,28,933 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 10,28,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,28,933) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(10,28,933) x common factors =1 x 2 = 2

LCM(10,28,933) = ( 10 × 28 × 933 ) / 2

LCM(10,28,933) = 261240 / 2

LCM(10,28,933) = 130620


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 99/10, 338/28, 134/933

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 99/10, 338/28, 134/933?

Answer: GCF of Numerators as per given numbers 99/10, 338/28, 134/933 is

GCF of Numerators i.e. for 99,338,134 is 1

LCM of denominators i.e. for 10,28,933 is 130620.

Thus, GCF of Fractions is 1/130620.Finally, GCF of Fractions for 99/10, 338/28, 134/933 is 1/130620.