Greatest Common Factor of 68/21, 85/43, 120/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/21, 85/43, 120/329

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 68/21,85/43,120/329

Given fractions are 68/21,85/43,120/329

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 68,85,120

Greatest Common Factor of Numerators i.e. GCF of 68,85,120 is 1 .

LCM of Denominators means LCM of 21,43,329 as per the given fractions.

LCM of 21,43,329 is 42441 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,85,120

GCF of Fractions 68/21,85/43,120/329 is 1/42441

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

Greatest Common Factor of 68,85,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,85,120 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 85

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

1,5,17,85

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 68,85,120 . The biggest common factor number is the GCF number.
So the greatest common factor 68,85,120 is 1.

Lets's calculate LCM of 21,43,329

7 21, 43, 329
3, 43, 47

∴ So the LCM of the given numbers is 7 x 3 x 43 x 47 = 42441

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42441

Therefore, the GCF of Fractions 68/21,85/43,120/329 is 1/42441

Least Common Multiple of 21,43,329 with GCF Formula

Least Common Multiple of 21,43,329 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 21,43,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,43,329) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,43,329) x common factors =1 x 7 = 7

LCM(21,43,329) = ( 21 × 43 × 329 ) / 7

LCM(21,43,329) = 297087 / 7

LCM(21,43,329) = 42441


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 68/21, 85/43, 120/329

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 68/21, 85/43, 120/329?

Answer: GCF of Numerators as per given numbers 68/21, 85/43, 120/329 is

GCF of Numerators i.e. for 68,85,120 is 1

LCM of denominators i.e. for 21,43,329 is 42441.

Thus, GCF of Fractions is 1/42441.Finally, GCF of Fractions for 68/21, 85/43, 120/329 is 1/42441.