Greatest Common Factor of 1221/17, 9904/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1221/17, 9904/310

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 1221/17,9904/310

Given fractions are 1221/17,9904/310

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 1221,9904

Greatest Common Factor of Numerators i.e. GCF of 1221,9904 is 1 .

LCM of Denominators means LCM of 17,310 as per the given fractions.

LCM of 17,310 is 5270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1221,9904

GCF of Fractions 1221/17,9904/310 is 1/5270

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

Greatest Common Factor of 1221,9904 By Matching Biggest Common Factor Method

Greatest Common Factor of 1221,9904 By Matching Biggest Common Factor Method

Factors of 1221

List of positive integer factors of 1221 that divides 1221 without a remainder.

1,3,11,33,37,111,407,1221

Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1,2,4,8,16,619,1238,2476,4952,9904

Greatest Common Factor

We found the factors 1221,9904 . The biggest common factor number is the GCF number.
So the greatest common factor 1221,9904 is 1.

Lets's calculate LCM of 17,310

Given numbers has no common factors except 1. So, there LCM is their product i.e 5270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5270

Therefore, the GCF of Fractions 1221/17,9904/310 is 1/5270

Least Common Multiple of 17,310 with GCF Formula

Least Common Multiple of 17,310 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 17,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,310) = 1

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

GCF(17,310) x common factors =1 x 1 = 1

LCM(17,310) = ( 17 × 310 ) / 1

LCM(17,310) = 5270 / 1

LCM(17,310) = 5270


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 1221/17, 9904/310

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 1221/17, 9904/310?

Answer: GCF of Numerators as per given numbers 1221/17, 9904/310 is

GCF of Numerators i.e. for 1221,9904 is 1

LCM of denominators i.e. for 17,310 is 5270.

Thus, GCF of Fractions is 1/5270.Finally, GCF of Fractions for 1221/17, 9904/310 is 1/5270.