Greatest Common Factor of 3285/60, 9365/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3285/60, 9365/838

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 3285/60,9365/838

Given fractions are 3285/60,9365/838

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 3285,9365

Greatest Common Factor of Numerators i.e. GCF of 3285,9365 is 5 .

LCM of Denominators means LCM of 60,838 as per the given fractions.

LCM of 60,838 is 25140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3285,9365

GCF of Fractions 3285/60,9365/838 is 5/25140

5 3285, 9365
657, 1873

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3285,9365 By Matching Biggest Common Factor Method

Greatest Common Factor of 3285,9365 By Matching Biggest Common Factor Method

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

Factors of 9365

List of positive integer factors of 9365 that divides 9365 without a remainder.

1,5,1873,9365

Greatest Common Factor

We found the factors 3285,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 3285,9365 is 5.

Lets's calculate LCM of 60,838

2 60, 838
30, 419

∴ So the LCM of the given numbers is 2 x 30 x 419 = 25140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/25140

Therefore, the GCF of Fractions 3285/60,9365/838 is 5/25140

Least Common Multiple of 60,838 with GCF Formula

Least Common Multiple of 60,838 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 60,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,838) = 2

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

GCF(60,838) x common factors =2 x 1 = 2

LCM(60,838) = ( 60 × 838 ) / 2

LCM(60,838) = 50280 / 2

LCM(60,838) = 25140


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 3285/60, 9365/838

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 3285/60, 9365/838?

Answer: GCF of Numerators as per given numbers 3285/60, 9365/838 is

GCF of Numerators i.e. for 3285,9365 is 5

LCM of denominators i.e. for 60,838 is 25140.

Thus, GCF of Fractions is 5/25140.Finally, GCF of Fractions for 3285/60, 9365/838 is 5/25140.