Greatest Common Factor of 48/43, 42/21, 105/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/43, 42/21, 105/254

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 48/43,42/21,105/254

Given fractions are 48/43,42/21,105/254

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 48,42,105

Greatest Common Factor of Numerators i.e. GCF of 48,42,105 is 3 .

LCM of Denominators means LCM of 43,21,254 as per the given fractions.

LCM of 43,21,254 is 229362 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,42,105

GCF of Fractions 48/43,42/21,105/254 is 3/229362

3 48, 42, 105
16, 14, 35

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 48,42,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,42,105 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 48,42,105 . The biggest common factor number is the GCF number.
So the greatest common factor 48,42,105 is 3.

Lets's calculate LCM of 43,21,254

Given numbers has no common factors except 1. So, there LCM is their product i.e 229362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/229362

Therefore, the GCF of Fractions 48/43,42/21,105/254 is 3/229362

Least Common Multiple of 43,21,254 with GCF Formula

Least Common Multiple of 43,21,254 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 43,21,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,21,254) = 1

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

GCF(43,21,254) x common factors =1 x 1 = 1

LCM(43,21,254) = ( 43 × 21 × 254 ) / 1

LCM(43,21,254) = 229362 / 1

LCM(43,21,254) = 229362


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 48/43, 42/21, 105/254

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 48/43, 42/21, 105/254?

Answer: GCF of Numerators as per given numbers 48/43, 42/21, 105/254 is

GCF of Numerators i.e. for 48,42,105 is 3

LCM of denominators i.e. for 43,21,254 is 229362.

Thus, GCF of Fractions is 3/229362.Finally, GCF of Fractions for 48/43, 42/21, 105/254 is 3/229362.