Greatest Common Factor of 52/86, 10/68, 43/34, 48/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 52/86, 10/68, 43/34, 48/238

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 52/86,10/68,43/34,48/238

Given fractions are 52/86,10/68,43/34,48/238

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 52,10,43,48

Greatest Common Factor of Numerators i.e. GCF of 52,10,43,48 is 1 .

LCM of Denominators means LCM of 86,68,34,238 as per the given fractions.

LCM of 86,68,34,238 is 20468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 52,10,43,48

GCF of Fractions 52/86,10/68,43/34,48/238 is 1/20468

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

Greatest Common Factor of 52,10,43,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,10,43,48 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

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

Greatest Common Factor

We found the factors 52,10,43,48 . The biggest common factor number is the GCF number.
So the greatest common factor 52,10,43,48 is 1.

Lets's calculate LCM of 86,68,34,238

2 86, 68, 34, 238
17 43, 34, 17, 119
43, 2, 1, 7

∴ So the LCM of the given numbers is 2 x 17 x 43 x 2 x 1 x 7 = 20468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20468

Therefore, the GCF of Fractions 52/86,10/68,43/34,48/238 is 1/20468

Least Common Multiple of 86,68,34,238 with GCF Formula

Least Common Multiple of 86,68,34,238 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 86,68,34,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,68,34,238) = 2

common factors(in case of two or more numbers have common factors) = 1156

GCF(86,68,34,238) x common factors =2 x 1156 = 2312

LCM(86,68,34,238) = ( 86 × 68 × 34 × 238 ) / 2312

LCM(86,68,34,238) = 47322016 / 2312

LCM(86,68,34,238) = 20468


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 52/86, 10/68, 43/34, 48/238

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 52/86, 10/68, 43/34, 48/238?

Answer: GCF of Numerators as per given numbers 52/86, 10/68, 43/34, 48/238 is

GCF of Numerators i.e. for 52,10,43,48 is 1

LCM of denominators i.e. for 86,68,34,238 is 20468.

Thus, GCF of Fractions is 1/20468.Finally, GCF of Fractions for 52/86, 10/68, 43/34, 48/238 is 1/20468.