Greatest Common Factor of 38/89, 68/49, 96/60, 39/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/89, 68/49, 96/60, 39/666

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 38/89,68/49,96/60,39/666

Given fractions are 38/89,68/49,96/60,39/666

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 38,68,96,39

Greatest Common Factor of Numerators i.e. GCF of 38,68,96,39 is 1 .

LCM of Denominators means LCM of 89,49,60,666 as per the given fractions.

LCM of 89,49,60,666 is 29044260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,68,96,39

GCF of Fractions 38/89,68/49,96/60,39/666 is 1/29044260

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

Greatest Common Factor of 38,68,96,39 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,68,96,39 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 68

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

1,2,4,17,34,68

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 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Greatest Common Factor

We found the factors 38,68,96,39 . The biggest common factor number is the GCF number.
So the greatest common factor 38,68,96,39 is 1.

Lets's calculate LCM of 89,49,60,666

2 89, 49, 60, 666
3 89, 49, 30, 333
89, 49, 10, 111

∴ So the LCM of the given numbers is 2 x 3 x 89 x 49 x 10 x 111 = 29044260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29044260

Therefore, the GCF of Fractions 38/89,68/49,96/60,39/666 is 1/29044260

Least Common Multiple of 89,49,60,666 with GCF Formula

Least Common Multiple of 89,49,60,666 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 89,49,60,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,49,60,666) = 1

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

GCF(89,49,60,666) x common factors =1 x 6 = 6

LCM(89,49,60,666) = ( 89 × 49 × 60 × 666 ) / 6

LCM(89,49,60,666) = 174265560 / 6

LCM(89,49,60,666) = 29044260


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 38/89, 68/49, 96/60, 39/666

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 38/89, 68/49, 96/60, 39/666?

Answer: GCF of Numerators as per given numbers 38/89, 68/49, 96/60, 39/666 is

GCF of Numerators i.e. for 38,68,96,39 is 1

LCM of denominators i.e. for 89,49,60,666 is 29044260.

Thus, GCF of Fractions is 1/29044260.Finally, GCF of Fractions for 38/89, 68/49, 96/60, 39/666 is 1/29044260.