Greatest Common Factor of 663/43, 289/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/43, 289/414

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 663/43,289/414

Given fractions are 663/43,289/414

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 663,289

Greatest Common Factor of Numerators i.e. GCF of 663,289 is 17 .

LCM of Denominators means LCM of 43,414 as per the given fractions.

LCM of 43,414 is 17802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,289

GCF of Fractions 663/43,289/414 is 17/17802

17 663, 289
39, 17

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

Greatest Common Factor of 663,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,289 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 663,289 . The biggest common factor number is the GCF number.
So the greatest common factor 663,289 is 17.

Lets's calculate LCM of 43,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 17802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/17802

Therefore, the GCF of Fractions 663/43,289/414 is 17/17802

Least Common Multiple of 43,414 with GCF Formula

Least Common Multiple of 43,414 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 43,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,414) = 1

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

GCF(43,414) x common factors =1 x 1 = 1

LCM(43,414) = ( 43 × 414 ) / 1

LCM(43,414) = 17802 / 1

LCM(43,414) = 17802


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 663/43, 289/414

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 663/43, 289/414?

Answer: GCF of Numerators as per given numbers 663/43, 289/414 is

GCF of Numerators i.e. for 663,289 is 17

LCM of denominators i.e. for 43,414 is 17802.

Thus, GCF of Fractions is 17/17802.Finally, GCF of Fractions for 663/43, 289/414 is 17/17802.