Greatest Common Factor of 7995/308, 4045/2834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7995/308, 4045/2834

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 7995/308,4045/2834

Given fractions are 7995/308,4045/2834

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 7995,4045

Greatest Common Factor of Numerators i.e. GCF of 7995,4045 is 5 .

LCM of Denominators means LCM of 308,2834 as per the given fractions.

LCM of 308,2834 is 436436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7995,4045

GCF of Fractions 7995/308,4045/2834 is 5/436436

5 7995, 4045
1599, 809

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

Greatest Common Factor of 7995,4045 By Matching Biggest Common Factor Method

Greatest Common Factor of 7995,4045 By Matching Biggest Common Factor Method

Factors of 7995

List of positive integer factors of 7995 that divides 7995 without a remainder.

1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995

Factors of 4045

List of positive integer factors of 4045 that divides 4045 without a remainder.

1,5,809,4045

Greatest Common Factor

We found the factors 7995,4045 . The biggest common factor number is the GCF number.
So the greatest common factor 7995,4045 is 5.

Lets's calculate LCM of 308,2834

2 308, 2834
154, 1417

∴ So the LCM of the given numbers is 2 x 154 x 1417 = 436436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/436436

Therefore, the GCF of Fractions 7995/308,4045/2834 is 5/436436

Least Common Multiple of 308,2834 with GCF Formula

Least Common Multiple of 308,2834 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 308,2834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,2834) = 2

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

GCF(308,2834) x common factors =2 x 1 = 2

LCM(308,2834) = ( 308 × 2834 ) / 2

LCM(308,2834) = 872872 / 2

LCM(308,2834) = 436436


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 7995/308, 4045/2834

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 7995/308, 4045/2834?

Answer: GCF of Numerators as per given numbers 7995/308, 4045/2834 is

GCF of Numerators i.e. for 7995,4045 is 5

LCM of denominators i.e. for 308,2834 is 436436.

Thus, GCF of Fractions is 5/436436.Finally, GCF of Fractions for 7995/308, 4045/2834 is 5/436436.