Greatest Common Factor of 33/76, 78/39, 90/96, 85/13

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 33/76, 78/39, 90/96, 85/13

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 33/76,78/39,90/96,85/13

Given fractions are 33/76,78/39,90/96,85/13

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 33,78,90,85

Greatest Common Factor of Numerators i.e. GCF of 33,78,90,85 is 1 .

LCM of Denominators means LCM of 76,39,96,13 as per the given fractions.

LCM of 76,39,96,13 is 23712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,78,90,85

GCF of Fractions 33/76,78/39,90/96,85/13 is 1/23712

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

Greatest Common Factor of 33,78,90,85 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,78,90,85 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Greatest Common Factor

We found the factors 33,78,90,85 . The biggest common factor number is the GCF number.
So the greatest common factor 33,78,90,85 is 1.

Lets's calculate LCM of 76,39,96,13

2 76, 39, 96, 13
2 38, 39, 48, 13
3 19, 39, 24, 13
13 19, 13, 8, 13
19, 1, 8, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 19 x 1 x 8 x 1 = 23712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23712

Therefore, the GCF of Fractions 33/76,78/39,90/96,85/13 is 1/23712

Least Common Multiple of 76,39,96,13 with GCF Formula

Least Common Multiple of 76,39,96,13 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 76,39,96,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,39,96,13) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(76,39,96,13) x common factors =1 x 156 = 156

LCM(76,39,96,13) = ( 76 × 39 × 96 × 13 ) / 156

LCM(76,39,96,13) = 3699072 / 156

LCM(76,39,96,13) = 23712


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 33/76, 78/39, 90/96, 85/13

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 33/76, 78/39, 90/96, 85/13?

Answer: GCF of Numerators as per given numbers 33/76, 78/39, 90/96, 85/13 is

GCF of Numerators i.e. for 33,78,90,85 is 1

LCM of denominators i.e. for 76,39,96,13 is 23712.

Thus, GCF of Fractions is 1/23712.Finally, GCF of Fractions for 33/76, 78/39, 90/96, 85/13 is 1/23712.