Greatest Common Factor of 68/38, 16/36, 686/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/38, 16/36, 686/17

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 68/38,16/36,686/17

Given fractions are 68/38,16/36,686/17

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 68,16,686

Greatest Common Factor of Numerators i.e. GCF of 68,16,686 is 2 .

LCM of Denominators means LCM of 38,36,17 as per the given fractions.

LCM of 38,36,17 is 11628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,16,686

GCF of Fractions 68/38,16/36,686/17 is 2/11628

2 68, 16, 686
34, 8, 343

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

Greatest Common Factor of 68,16,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,16,686 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 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 68,16,686 . The biggest common factor number is the GCF number.
So the greatest common factor 68,16,686 is 2.

Lets's calculate LCM of 38,36,17

2 38, 36, 17
19, 18, 17

∴ So the LCM of the given numbers is 2 x 19 x 18 x 17 = 11628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11628

Therefore, the GCF of Fractions 68/38,16/36,686/17 is 2/11628

Least Common Multiple of 38,36,17 with GCF Formula

Least Common Multiple of 38,36,17 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 38,36,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,36,17) = 1

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

GCF(38,36,17) x common factors =1 x 2 = 2

LCM(38,36,17) = ( 38 × 36 × 17 ) / 2

LCM(38,36,17) = 23256 / 2

LCM(38,36,17) = 11628


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 68/38, 16/36, 686/17

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 68/38, 16/36, 686/17?

Answer: GCF of Numerators as per given numbers 68/38, 16/36, 686/17 is

GCF of Numerators i.e. for 68,16,686 is 2

LCM of denominators i.e. for 38,36,17 is 11628.

Thus, GCF of Fractions is 2/11628.Finally, GCF of Fractions for 68/38, 16/36, 686/17 is 2/11628.