Greatest Common Factor of 48/68, 27/80, 82/25, 78/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 48/68, 27/80, 82/25, 78/506

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 48/68,27/80,82/25,78/506

Given fractions are 48/68,27/80,82/25,78/506

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 48,27,82,78

Greatest Common Factor of Numerators i.e. GCF of 48,27,82,78 is 1 .

LCM of Denominators means LCM of 68,80,25,506 as per the given fractions.

LCM of 68,80,25,506 is 1720400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 48,27,82,78

GCF of Fractions 48/68,27/80,82/25,78/506 is 1/1720400

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

Greatest Common Factor of 48,27,82,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,27,82,78 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 48,27,82,78 . The biggest common factor number is the GCF number.
So the greatest common factor 48,27,82,78 is 1.

Lets's calculate LCM of 68,80,25,506

2 68, 80, 25, 506
2 34, 40, 25, 253
5 17, 20, 25, 253
17, 4, 5, 253

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 4 x 5 x 253 = 1720400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1720400

Therefore, the GCF of Fractions 48/68,27/80,82/25,78/506 is 1/1720400

Least Common Multiple of 68,80,25,506 with GCF Formula

Least Common Multiple of 68,80,25,506 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 68,80,25,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,80,25,506) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(68,80,25,506) x common factors =1 x 40 = 40

LCM(68,80,25,506) = ( 68 × 80 × 25 × 506 ) / 40

LCM(68,80,25,506) = 68816000 / 40

LCM(68,80,25,506) = 1720400


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 48/68, 27/80, 82/25, 78/506

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 48/68, 27/80, 82/25, 78/506?

Answer: GCF of Numerators as per given numbers 48/68, 27/80, 82/25, 78/506 is

GCF of Numerators i.e. for 48,27,82,78 is 1

LCM of denominators i.e. for 68,80,25,506 is 1720400.

Thus, GCF of Fractions is 1/1720400.Finally, GCF of Fractions for 48/68, 27/80, 82/25, 78/506 is 1/1720400.