Greatest Common Factor of 28/66, 42/13, 112/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/66, 42/13, 112/193

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 28/66,42/13,112/193

Given fractions are 28/66,42/13,112/193

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 28,42,112

Greatest Common Factor of Numerators i.e. GCF of 28,42,112 is 14 .

LCM of Denominators means LCM of 66,13,193 as per the given fractions.

LCM of 66,13,193 is 165594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,42,112

GCF of Fractions 28/66,42/13,112/193 is 14/165594

2 28, 42, 112
7 14, 21, 56
2, 3, 8

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

Greatest Common Factor of 28,42,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,42,112 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 28,42,112 . The biggest common factor number is the GCF number.
So the greatest common factor 28,42,112 is 14.

Lets's calculate LCM of 66,13,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 165594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/165594

Therefore, the GCF of Fractions 28/66,42/13,112/193 is 14/165594

Least Common Multiple of 66,13,193 with GCF Formula

Least Common Multiple of 66,13,193 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 66,13,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,13,193) = 1

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

GCF(66,13,193) x common factors =1 x 1 = 1

LCM(66,13,193) = ( 66 × 13 × 193 ) / 1

LCM(66,13,193) = 165594 / 1

LCM(66,13,193) = 165594


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 28/66, 42/13, 112/193

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 28/66, 42/13, 112/193?

Answer: GCF of Numerators as per given numbers 28/66, 42/13, 112/193 is

GCF of Numerators i.e. for 28,42,112 is 14

LCM of denominators i.e. for 66,13,193 is 165594.

Thus, GCF of Fractions is 14/165594.Finally, GCF of Fractions for 28/66, 42/13, 112/193 is 14/165594.