Greatest Common Factor of 68/17, 39/30, 303/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/17, 39/30, 303/824

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 68/17,39/30,303/824

Given fractions are 68/17,39/30,303/824

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 68,39,303

Greatest Common Factor of Numerators i.e. GCF of 68,39,303 is 1 .

LCM of Denominators means LCM of 17,30,824 as per the given fractions.

LCM of 17,30,824 is 210120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,39,303

GCF of Fractions 68/17,39/30,303/824 is 1/210120

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

Greatest Common Factor of 68,39,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,39,303 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 39

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

1,3,13,39

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 68,39,303 . The biggest common factor number is the GCF number.
So the greatest common factor 68,39,303 is 1.

Lets's calculate LCM of 17,30,824

2 17, 30, 824
17, 15, 412

∴ So the LCM of the given numbers is 2 x 17 x 15 x 412 = 210120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/210120

Therefore, the GCF of Fractions 68/17,39/30,303/824 is 1/210120

Least Common Multiple of 17,30,824 with GCF Formula

Least Common Multiple of 17,30,824 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 17,30,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,30,824) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,30,824) x common factors =1 x 2 = 2

LCM(17,30,824) = ( 17 × 30 × 824 ) / 2

LCM(17,30,824) = 420240 / 2

LCM(17,30,824) = 210120


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 68/17, 39/30, 303/824

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 68/17, 39/30, 303/824?

Answer: GCF of Numerators as per given numbers 68/17, 39/30, 303/824 is

GCF of Numerators i.e. for 68,39,303 is 1

LCM of denominators i.e. for 17,30,824 is 210120.

Thus, GCF of Fractions is 1/210120.Finally, GCF of Fractions for 68/17, 39/30, 303/824 is 1/210120.