Greatest Common Factor of 68/89, 66/96, 30/48, 10/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/89, 66/96, 30/48, 10/144

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 68/89,66/96,30/48,10/144

Given fractions are 68/89,66/96,30/48,10/144

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 68,66,30,10

Greatest Common Factor of Numerators i.e. GCF of 68,66,30,10 is 2 .

LCM of Denominators means LCM of 89,96,48,144 as per the given fractions.

LCM of 89,96,48,144 is 25632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,66,30,10

GCF of Fractions 68/89,66/96,30/48,10/144 is 2/25632

2 68, 66, 30, 10
34, 33, 15, 5

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 68,66,30,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,66,30,10 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 68,66,30,10 . The biggest common factor number is the GCF number.
So the greatest common factor 68,66,30,10 is 2.

Lets's calculate LCM of 89,96,48,144

2 89, 96, 48, 144
2 89, 48, 24, 72
2 89, 12, 24, 36
2 89, 6, 12, 18
3 89, 3, 6, 9
89, 1, 2, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 89 x 1 x 2 x 3 = 25632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25632

Therefore, the GCF of Fractions 68/89,66/96,30/48,10/144 is 2/25632

Least Common Multiple of 89,96,48,144 with GCF Formula

Least Common Multiple of 89,96,48,144 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 89,96,48,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,96,48,144) = 1

common factors(in case of two or more numbers have common factors) = 2304

GCF(89,96,48,144) x common factors =1 x 2304 = 2304

LCM(89,96,48,144) = ( 89 × 96 × 48 × 144 ) / 2304

LCM(89,96,48,144) = 59056128 / 2304

LCM(89,96,48,144) = 25632


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 68/89, 66/96, 30/48, 10/144

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 68/89, 66/96, 30/48, 10/144?

Answer: GCF of Numerators as per given numbers 68/89, 66/96, 30/48, 10/144 is

GCF of Numerators i.e. for 68,66,30,10 is 2

LCM of denominators i.e. for 89,96,48,144 is 25632.

Thus, GCF of Fractions is 2/25632.Finally, GCF of Fractions for 68/89, 66/96, 30/48, 10/144 is 2/25632.