Greatest Common Factor of 295/43, 105/6413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 295/43, 105/6413

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 295/43,105/6413

Given fractions are 295/43,105/6413

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 295,105

Greatest Common Factor of Numerators i.e. GCF of 295,105 is 5 .

LCM of Denominators means LCM of 43,6413 as per the given fractions.

LCM of 43,6413 is 275759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,105

GCF of Fractions 295/43,105/6413 is 5/275759

5 295, 105
59, 21

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

Greatest Common Factor of 295,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,105 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 295,105 . The biggest common factor number is the GCF number.
So the greatest common factor 295,105 is 5.

Lets's calculate LCM of 43,6413

Given numbers has no common factors except 1. So, there LCM is their product i.e 275759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/275759

Therefore, the GCF of Fractions 295/43,105/6413 is 5/275759

Least Common Multiple of 43,6413 with GCF Formula

Least Common Multiple of 43,6413 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 43,6413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,6413) = 1

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

GCF(43,6413) x common factors =1 x 1 = 1

LCM(43,6413) = ( 43 × 6413 ) / 1

LCM(43,6413) = 275759 / 1

LCM(43,6413) = 275759


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 295/43, 105/6413

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 295/43, 105/6413?

Answer: GCF of Numerators as per given numbers 295/43, 105/6413 is

GCF of Numerators i.e. for 295,105 is 5

LCM of denominators i.e. for 43,6413 is 275759.

Thus, GCF of Fractions is 5/275759.Finally, GCF of Fractions for 295/43, 105/6413 is 5/275759.