Greatest Common Factor of 4850/307, 8002/1198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4850/307, 8002/1198

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 4850/307,8002/1198

Given fractions are 4850/307,8002/1198

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 4850,8002

Greatest Common Factor of Numerators i.e. GCF of 4850,8002 is 2 .

LCM of Denominators means LCM of 307,1198 as per the given fractions.

LCM of 307,1198 is 367786 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4850,8002

GCF of Fractions 4850/307,8002/1198 is 2/367786

2 4850, 8002
2425, 4001

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

Greatest Common Factor of 4850,8002 By Matching Biggest Common Factor Method

Greatest Common Factor of 4850,8002 By Matching Biggest Common Factor Method

Factors of 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1,2,5,10,25,50,97,194,485,970,2425,4850

Factors of 8002

List of positive integer factors of 8002 that divides 8002 without a remainder.

1,2,4001,8002

Greatest Common Factor

We found the factors 4850,8002 . The biggest common factor number is the GCF number.
So the greatest common factor 4850,8002 is 2.

Lets's calculate LCM of 307,1198

Given numbers has no common factors except 1. So, there LCM is their product i.e 367786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/367786

Therefore, the GCF of Fractions 4850/307,8002/1198 is 2/367786

Least Common Multiple of 307,1198 with GCF Formula

Least Common Multiple of 307,1198 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 307,1198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,1198) = 1

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

GCF(307,1198) x common factors =1 x 1 = 1

LCM(307,1198) = ( 307 × 1198 ) / 1

LCM(307,1198) = 367786 / 1

LCM(307,1198) = 367786


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 4850/307, 8002/1198

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 4850/307, 8002/1198?

Answer: GCF of Numerators as per given numbers 4850/307, 8002/1198 is

GCF of Numerators i.e. for 4850,8002 is 2

LCM of denominators i.e. for 307,1198 is 367786.

Thus, GCF of Fractions is 2/367786.Finally, GCF of Fractions for 4850/307, 8002/1198 is 2/367786.