Greatest Common Factor of 9645/225, 9837/8338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9645/225, 9837/8338

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 9645/225,9837/8338

Given fractions are 9645/225,9837/8338

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 9645,9837

Greatest Common Factor of Numerators i.e. GCF of 9645,9837 is 3 .

LCM of Denominators means LCM of 225,8338 as per the given fractions.

LCM of 225,8338 is 1876050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9645,9837

GCF of Fractions 9645/225,9837/8338 is 3/1876050

3 9645, 9837
3215, 3279

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9645,9837 By Matching Biggest Common Factor Method

Greatest Common Factor of 9645,9837 By Matching Biggest Common Factor Method

Factors of 9645

List of positive integer factors of 9645 that divides 9645 without a remainder.

1,3,5,15,643,1929,3215,9645

Factors of 9837

List of positive integer factors of 9837 that divides 9837 without a remainder.

1,3,9,1093,3279,9837

Greatest Common Factor

We found the factors 9645,9837 . The biggest common factor number is the GCF number.
So the greatest common factor 9645,9837 is 3.

Lets's calculate LCM of 225,8338

Given numbers has no common factors except 1. So, there LCM is their product i.e 1876050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1876050

Therefore, the GCF of Fractions 9645/225,9837/8338 is 3/1876050

Least Common Multiple of 225,8338 with GCF Formula

Least Common Multiple of 225,8338 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 225,8338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,8338) = 1

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

GCF(225,8338) x common factors =1 x 1 = 1

LCM(225,8338) = ( 225 × 8338 ) / 1

LCM(225,8338) = 1876050 / 1

LCM(225,8338) = 1876050


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 9645/225, 9837/8338

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 9645/225, 9837/8338?

Answer: GCF of Numerators as per given numbers 9645/225, 9837/8338 is

GCF of Numerators i.e. for 9645,9837 is 3

LCM of denominators i.e. for 225,8338 is 1876050.

Thus, GCF of Fractions is 3/1876050.Finally, GCF of Fractions for 9645/225, 9837/8338 is 3/1876050.