Greatest Common Factor of 9674/298, 3285/3336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9674/298, 3285/3336

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 9674/298,3285/3336

Given fractions are 9674/298,3285/3336

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 9674,3285

Greatest Common Factor of Numerators i.e. GCF of 9674,3285 is 1 .

LCM of Denominators means LCM of 298,3336 as per the given fractions.

LCM of 298,3336 is 497064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9674,3285

GCF of Fractions 9674/298,3285/3336 is 1/497064

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

Greatest Common Factor of 9674,3285 By Matching Biggest Common Factor Method

Greatest Common Factor of 9674,3285 By Matching Biggest Common Factor Method

Factors of 9674

List of positive integer factors of 9674 that divides 9674 without a remainder.

1,2,7,14,691,1382,4837,9674

Factors of 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1,3,5,9,15,45,73,219,365,657,1095,3285

Greatest Common Factor

We found the factors 9674,3285 . The biggest common factor number is the GCF number.
So the greatest common factor 9674,3285 is 1.

Lets's calculate LCM of 298,3336

2 298, 3336
149, 1668

∴ So the LCM of the given numbers is 2 x 149 x 1668 = 497064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497064

Therefore, the GCF of Fractions 9674/298,3285/3336 is 1/497064

Least Common Multiple of 298,3336 with GCF Formula

Least Common Multiple of 298,3336 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 298,3336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,3336) = 2

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

GCF(298,3336) x common factors =2 x 1 = 2

LCM(298,3336) = ( 298 × 3336 ) / 2

LCM(298,3336) = 994128 / 2

LCM(298,3336) = 497064


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 9674/298, 3285/3336

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 9674/298, 3285/3336?

Answer: GCF of Numerators as per given numbers 9674/298, 3285/3336 is

GCF of Numerators i.e. for 9674,3285 is 1

LCM of denominators i.e. for 298,3336 is 497064.

Thus, GCF of Fractions is 1/497064.Finally, GCF of Fractions for 9674/298, 3285/3336 is 1/497064.