Greatest Common Factor of 56/42, 448/28, 198/168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/42, 448/28, 198/168

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 56/42,448/28,198/168

Given fractions are 56/42,448/28,198/168

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 56,448,198

Greatest Common Factor of Numerators i.e. GCF of 56,448,198 is 2 .

LCM of Denominators means LCM of 42,28,168 as per the given fractions.

LCM of 42,28,168 is 168 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,448,198

GCF of Fractions 56/42,448/28,198/168 is 2/168

2 56, 448, 198
28, 224, 99

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 56,448,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,448,198 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

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

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 56,448,198 . The biggest common factor number is the GCF number.
So the greatest common factor 56,448,198 is 2.

Lets's calculate LCM of 42,28,168

2 42, 28, 168
2 21, 14, 84
3 21, 7, 42
7 7, 7, 14
1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 1 x 2 = 168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168

Therefore, the GCF of Fractions 56/42,448/28,198/168 is 2/168

Least Common Multiple of 42,28,168 with GCF Formula

Least Common Multiple of 42,28,168 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 42,28,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,28,168) = 14

common factors(in case of two or more numbers have common factors) = 84

GCF(42,28,168) x common factors =14 x 84 = 1176

LCM(42,28,168) = ( 42 × 28 × 168 ) / 1176

LCM(42,28,168) = 197568 / 1176

LCM(42,28,168) = 168


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 56/42, 448/28, 198/168

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 56/42, 448/28, 198/168?

Answer: GCF of Numerators as per given numbers 56/42, 448/28, 198/168 is

GCF of Numerators i.e. for 56,448,198 is 2

LCM of denominators i.e. for 42,28,168 is 168.

Thus, GCF of Fractions is 2/168.Finally, GCF of Fractions for 56/42, 448/28, 198/168 is 2/168.