Greatest Common Factor of 68/78, 26/48, 226/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/78, 26/48, 226/866

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 68/78,26/48,226/866

Given fractions are 68/78,26/48,226/866

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 68,26,226

Greatest Common Factor of Numerators i.e. GCF of 68,26,226 is 2 .

LCM of Denominators means LCM of 78,48,866 as per the given fractions.

LCM of 78,48,866 is 270192 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,26,226

GCF of Fractions 68/78,26/48,226/866 is 2/270192

2 68, 26, 226
34, 13, 113

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

Greatest Common Factor of 68,26,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,26,226 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 68,26,226 . The biggest common factor number is the GCF number.
So the greatest common factor 68,26,226 is 2.

Lets's calculate LCM of 78,48,866

2 78, 48, 866
3 39, 24, 433
13, 8, 433

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 433 = 270192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/270192

Therefore, the GCF of Fractions 68/78,26/48,226/866 is 2/270192

Least Common Multiple of 78,48,866 with GCF Formula

Least Common Multiple of 78,48,866 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 78,48,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,48,866) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,48,866) x common factors =2 x 6 = 12

LCM(78,48,866) = ( 78 × 48 × 866 ) / 12

LCM(78,48,866) = 3242304 / 12

LCM(78,48,866) = 270192


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 68/78, 26/48, 226/866

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 68/78, 26/48, 226/866?

Answer: GCF of Numerators as per given numbers 68/78, 26/48, 226/866 is

GCF of Numerators i.e. for 68,26,226 is 2

LCM of denominators i.e. for 78,48,866 is 270192.

Thus, GCF of Fractions is 2/270192.Finally, GCF of Fractions for 68/78, 26/48, 226/866 is 2/270192.