Greatest Common Factor of 8915/29, 1845/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8915/29, 1845/244

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 8915/29,1845/244

Given fractions are 8915/29,1845/244

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 8915,1845

Greatest Common Factor of Numerators i.e. GCF of 8915,1845 is 5 .

LCM of Denominators means LCM of 29,244 as per the given fractions.

LCM of 29,244 is 7076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8915,1845

GCF of Fractions 8915/29,1845/244 is 5/7076

5 8915, 1845
1783, 369

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

Greatest Common Factor of 8915,1845 By Matching Biggest Common Factor Method

Greatest Common Factor of 8915,1845 By Matching Biggest Common Factor Method

Factors of 8915

List of positive integer factors of 8915 that divides 8915 without a remainder.

1,5,1783,8915

Factors of 1845

List of positive integer factors of 1845 that divides 1845 without a remainder.

1,3,5,9,15,41,45,123,205,369,615,1845

Greatest Common Factor

We found the factors 8915,1845 . The biggest common factor number is the GCF number.
So the greatest common factor 8915,1845 is 5.

Lets's calculate LCM of 29,244

Given numbers has no common factors except 1. So, there LCM is their product i.e 7076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/7076

Therefore, the GCF of Fractions 8915/29,1845/244 is 5/7076

Least Common Multiple of 29,244 with GCF Formula

Least Common Multiple of 29,244 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 29,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,244) = 1

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

GCF(29,244) x common factors =1 x 1 = 1

LCM(29,244) = ( 29 × 244 ) / 1

LCM(29,244) = 7076 / 1

LCM(29,244) = 7076


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 8915/29, 1845/244

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 8915/29, 1845/244?

Answer: GCF of Numerators as per given numbers 8915/29, 1845/244 is

GCF of Numerators i.e. for 8915,1845 is 5

LCM of denominators i.e. for 29,244 is 7076.

Thus, GCF of Fractions is 5/7076.Finally, GCF of Fractions for 8915/29, 1845/244 is 5/7076.