Greatest Common Factor of 96/65, 78/68, 32/16, 43/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/65, 78/68, 32/16, 43/286

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 96/65,78/68,32/16,43/286

Given fractions are 96/65,78/68,32/16,43/286

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 96,78,32,43

Greatest Common Factor of Numerators i.e. GCF of 96,78,32,43 is 1 .

LCM of Denominators means LCM of 65,68,16,286 as per the given fractions.

LCM of 65,68,16,286 is 194480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,78,32,43

GCF of Fractions 96/65,78/68,32/16,43/286 is 1/194480

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

Greatest Common Factor of 96,78,32,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,78,32,43 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 78

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

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

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 43

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

1,43

Greatest Common Factor

We found the factors 96,78,32,43 . The biggest common factor number is the GCF number.
So the greatest common factor 96,78,32,43 is 1.

Lets's calculate LCM of 65,68,16,286

2 65, 68, 16, 286
2 65, 34, 8, 143
13 65, 17, 4, 143
5, 17, 4, 11

∴ So the LCM of the given numbers is 2 x 2 x 13 x 5 x 17 x 4 x 11 = 194480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194480

Therefore, the GCF of Fractions 96/65,78/68,32/16,43/286 is 1/194480

Least Common Multiple of 65,68,16,286 with GCF Formula

Least Common Multiple of 65,68,16,286 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 65,68,16,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,68,16,286) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(65,68,16,286) x common factors =1 x 104 = 104

LCM(65,68,16,286) = ( 65 × 68 × 16 × 286 ) / 104

LCM(65,68,16,286) = 20225920 / 104

LCM(65,68,16,286) = 194480


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 96/65, 78/68, 32/16, 43/286

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 96/65, 78/68, 32/16, 43/286?

Answer: GCF of Numerators as per given numbers 96/65, 78/68, 32/16, 43/286 is

GCF of Numerators i.e. for 96,78,32,43 is 1

LCM of denominators i.e. for 65,68,16,286 is 194480.

Thus, GCF of Fractions is 1/194480.Finally, GCF of Fractions for 96/65, 78/68, 32/16, 43/286 is 1/194480.