Greatest Common Factor of 68/48, 87/33, 96/43, 27/928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/48, 87/33, 96/43, 27/928

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 68/48,87/33,96/43,27/928

Given fractions are 68/48,87/33,96/43,27/928

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 68,87,96,27

Greatest Common Factor of Numerators i.e. GCF of 68,87,96,27 is 1 .

LCM of Denominators means LCM of 48,33,43,928 as per the given fractions.

LCM of 48,33,43,928 is 1316832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,87,96,27

GCF of Fractions 68/48,87/33,96/43,27/928 is 1/1316832

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

Greatest Common Factor of 68,87,96,27 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,87,96,27 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 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

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 27

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

1,3,9,27

Greatest Common Factor

We found the factors 68,87,96,27 . The biggest common factor number is the GCF number.
So the greatest common factor 68,87,96,27 is 1.

Lets's calculate LCM of 48,33,43,928

2 48, 33, 43, 928
2 24, 33, 43, 464
2 12, 33, 43, 232
2 6, 33, 43, 116
3 3, 33, 43, 58
1, 11, 43, 58

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 11 x 43 x 58 = 1316832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316832

Therefore, the GCF of Fractions 68/48,87/33,96/43,27/928 is 1/1316832

Least Common Multiple of 48,33,43,928 with GCF Formula

Least Common Multiple of 48,33,43,928 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 48,33,43,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,33,43,928) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(48,33,43,928) x common factors =1 x 48 = 48

LCM(48,33,43,928) = ( 48 × 33 × 43 × 928 ) / 48

LCM(48,33,43,928) = 63207936 / 48

LCM(48,33,43,928) = 1316832


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 68/48, 87/33, 96/43, 27/928

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 68/48, 87/33, 96/43, 27/928?

Answer: GCF of Numerators as per given numbers 68/48, 87/33, 96/43, 27/928 is

GCF of Numerators i.e. for 68,87,96,27 is 1

LCM of denominators i.e. for 48,33,43,928 is 1316832.

Thus, GCF of Fractions is 1/1316832.Finally, GCF of Fractions for 68/48, 87/33, 96/43, 27/928 is 1/1316832.