Greatest Common Factor of 9868/290, 2908/4054

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9868/290, 2908/4054

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 9868/290,2908/4054

Given fractions are 9868/290,2908/4054

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 9868,2908

Greatest Common Factor of Numerators i.e. GCF of 9868,2908 is 4 .

LCM of Denominators means LCM of 290,4054 as per the given fractions.

LCM of 290,4054 is 587830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9868,2908

GCF of Fractions 9868/290,2908/4054 is 4/587830

2 9868, 2908
2 4934, 1454
2467, 727

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9868,2908 By Matching Biggest Common Factor Method

Greatest Common Factor of 9868,2908 By Matching Biggest Common Factor Method

Factors of 9868

List of positive integer factors of 9868 that divides 9868 without a remainder.

1,2,4,2467,4934,9868

Factors of 2908

List of positive integer factors of 2908 that divides 2908 without a remainder.

1,2,4,727,1454,2908

Greatest Common Factor

We found the factors 9868,2908 . The biggest common factor number is the GCF number.
So the greatest common factor 9868,2908 is 4.

Lets's calculate LCM of 290,4054

2 290, 4054
145, 2027

∴ So the LCM of the given numbers is 2 x 145 x 2027 = 587830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/587830

Therefore, the GCF of Fractions 9868/290,2908/4054 is 4/587830

Least Common Multiple of 290,4054 with GCF Formula

Least Common Multiple of 290,4054 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 290,4054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,4054) = 2

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

GCF(290,4054) x common factors =2 x 1 = 2

LCM(290,4054) = ( 290 × 4054 ) / 2

LCM(290,4054) = 1175660 / 2

LCM(290,4054) = 587830


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 9868/290, 2908/4054

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 9868/290, 2908/4054?

Answer: GCF of Numerators as per given numbers 9868/290, 2908/4054 is

GCF of Numerators i.e. for 9868,2908 is 4

LCM of denominators i.e. for 290,4054 is 587830.

Thus, GCF of Fractions is 4/587830.Finally, GCF of Fractions for 9868/290, 2908/4054 is 4/587830.