Greatest Common Factor of 17/297, 680/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/297, 680/286

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 17/297,680/286

Given fractions are 17/297,680/286

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 17,680

Greatest Common Factor of Numerators i.e. GCF of 17,680 is 17 .

LCM of Denominators means LCM of 297,286 as per the given fractions.

LCM of 297,286 is 7722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,680

GCF of Fractions 17/297,680/286 is 17/7722

17 17, 680
1, 40

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 17,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,680 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 17,680 . The biggest common factor number is the GCF number.
So the greatest common factor 17,680 is 17.

Lets's calculate LCM of 297,286

11 297, 286
27, 26

∴ So the LCM of the given numbers is 11 x 27 x 26 = 7722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/7722

Therefore, the GCF of Fractions 17/297,680/286 is 17/7722

Least Common Multiple of 297,286 with GCF Formula

Least Common Multiple of 297,286 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 297,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,286) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(297,286) x common factors =11 x 1 = 11

LCM(297,286) = ( 297 × 286 ) / 11

LCM(297,286) = 84942 / 11

LCM(297,286) = 7722


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 17/297, 680/286

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 17/297, 680/286?

Answer: GCF of Numerators as per given numbers 17/297, 680/286 is

GCF of Numerators i.e. for 17,680 is 17

LCM of denominators i.e. for 297,286 is 7722.

Thus, GCF of Fractions is 17/7722.Finally, GCF of Fractions for 17/297, 680/286 is 17/7722.