Greatest Common Factor of 2841/605, 7098/8302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2841/605, 7098/8302

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 2841/605,7098/8302

Given fractions are 2841/605,7098/8302

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 2841,7098

Greatest Common Factor of Numerators i.e. GCF of 2841,7098 is 3 .

LCM of Denominators means LCM of 605,8302 as per the given fractions.

LCM of 605,8302 is 5022710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2841,7098

GCF of Fractions 2841/605,7098/8302 is 3/5022710

3 2841, 7098
947, 2366

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

Greatest Common Factor of 2841,7098 By Matching Biggest Common Factor Method

Greatest Common Factor of 2841,7098 By Matching Biggest Common Factor Method

Factors of 2841

List of positive integer factors of 2841 that divides 2841 without a remainder.

1,3,947,2841

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Greatest Common Factor

We found the factors 2841,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 2841,7098 is 3.

Lets's calculate LCM of 605,8302

Given numbers has no common factors except 1. So, there LCM is their product i.e 5022710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5022710

Therefore, the GCF of Fractions 2841/605,7098/8302 is 3/5022710

Least Common Multiple of 605,8302 with GCF Formula

Least Common Multiple of 605,8302 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 605,8302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,8302) = 1

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

GCF(605,8302) x common factors =1 x 1 = 1

LCM(605,8302) = ( 605 × 8302 ) / 1

LCM(605,8302) = 5022710 / 1

LCM(605,8302) = 5022710


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 2841/605, 7098/8302

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 2841/605, 7098/8302?

Answer: GCF of Numerators as per given numbers 2841/605, 7098/8302 is

GCF of Numerators i.e. for 2841,7098 is 3

LCM of denominators i.e. for 605,8302 is 5022710.

Thus, GCF of Fractions is 3/5022710.Finally, GCF of Fractions for 2841/605, 7098/8302 is 3/5022710.