Greatest Common Factor of 3333/17, 9670/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3333/17, 9670/414

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 3333/17,9670/414

Given fractions are 3333/17,9670/414

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 3333,9670

Greatest Common Factor of Numerators i.e. GCF of 3333,9670 is 1 .

LCM of Denominators means LCM of 17,414 as per the given fractions.

LCM of 17,414 is 7038 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3333,9670

GCF of Fractions 3333/17,9670/414 is 1/7038

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

Greatest Common Factor of 3333,9670 By Matching Biggest Common Factor Method

Greatest Common Factor of 3333,9670 By Matching Biggest Common Factor Method

Factors of 3333

List of positive integer factors of 3333 that divides 3333 without a remainder.

1,3,11,33,101,303,1111,3333

Factors of 9670

List of positive integer factors of 9670 that divides 9670 without a remainder.

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 3333,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 3333,9670 is 1.

Lets's calculate LCM of 17,414

Given numbers has no common factors except 1. So, there LCM is their product i.e 7038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7038

Therefore, the GCF of Fractions 3333/17,9670/414 is 1/7038

Least Common Multiple of 17,414 with GCF Formula

Least Common Multiple of 17,414 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 17,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,414) = 1

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

GCF(17,414) x common factors =1 x 1 = 1

LCM(17,414) = ( 17 × 414 ) / 1

LCM(17,414) = 7038 / 1

LCM(17,414) = 7038


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 3333/17, 9670/414

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 3333/17, 9670/414?

Answer: GCF of Numerators as per given numbers 3333/17, 9670/414 is

GCF of Numerators i.e. for 3333,9670 is 1

LCM of denominators i.e. for 17,414 is 7038.

Thus, GCF of Fractions is 1/7038.Finally, GCF of Fractions for 3333/17, 9670/414 is 1/7038.