Greatest Common Factor of 8235/383, 7295/4145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8235/383, 7295/4145

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 8235/383,7295/4145

Given fractions are 8235/383,7295/4145

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 8235,7295

Greatest Common Factor of Numerators i.e. GCF of 8235,7295 is 5 .

LCM of Denominators means LCM of 383,4145 as per the given fractions.

LCM of 383,4145 is 1587535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8235,7295

GCF of Fractions 8235/383,7295/4145 is 5/1587535

5 8235, 7295
1647, 1459

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

Greatest Common Factor of 8235,7295 By Matching Biggest Common Factor Method

Greatest Common Factor of 8235,7295 By Matching Biggest Common Factor Method

Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235

Factors of 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1,5,1459,7295

Greatest Common Factor

We found the factors 8235,7295 . The biggest common factor number is the GCF number.
So the greatest common factor 8235,7295 is 5.

Lets's calculate LCM of 383,4145

Given numbers has no common factors except 1. So, there LCM is their product i.e 1587535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1587535

Therefore, the GCF of Fractions 8235/383,7295/4145 is 5/1587535

Least Common Multiple of 383,4145 with GCF Formula

Least Common Multiple of 383,4145 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 383,4145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,4145) = 1

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

GCF(383,4145) x common factors =1 x 1 = 1

LCM(383,4145) = ( 383 × 4145 ) / 1

LCM(383,4145) = 1587535 / 1

LCM(383,4145) = 1587535


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 8235/383, 7295/4145

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 8235/383, 7295/4145?

Answer: GCF of Numerators as per given numbers 8235/383, 7295/4145 is

GCF of Numerators i.e. for 8235,7295 is 5

LCM of denominators i.e. for 383,4145 is 1587535.

Thus, GCF of Fractions is 5/1587535.Finally, GCF of Fractions for 8235/383, 7295/4145 is 5/1587535.