Greatest Common Factor of 5198/30, 1847/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5198/30, 1847/800

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 5198/30,1847/800

Given fractions are 5198/30,1847/800

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 5198,1847

Greatest Common Factor of Numerators i.e. GCF of 5198,1847 is 1 .

LCM of Denominators means LCM of 30,800 as per the given fractions.

LCM of 30,800 is 2400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5198,1847

GCF of Fractions 5198/30,1847/800 is 1/2400

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5198,1847 By Matching Biggest Common Factor Method

Greatest Common Factor of 5198,1847 By Matching Biggest Common Factor Method

Factors of 5198

List of positive integer factors of 5198 that divides 5198 without a remainder.

1,2,23,46,113,226,2599,5198

Factors of 1847

List of positive integer factors of 1847 that divides 1847 without a remainder.

1,1847

Greatest Common Factor

We found the factors 5198,1847 . The biggest common factor number is the GCF number.
So the greatest common factor 5198,1847 is 1.

Lets's calculate LCM of 30,800

2 30, 800
5 15, 400
3, 80

∴ So the LCM of the given numbers is 2 x 5 x 3 x 80 = 2400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2400

Therefore, the GCF of Fractions 5198/30,1847/800 is 1/2400

Least Common Multiple of 30,800 with GCF Formula

Least Common Multiple of 30,800 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 30,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,800) = 10

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

GCF(30,800) x common factors =10 x 1 = 10

LCM(30,800) = ( 30 × 800 ) / 10

LCM(30,800) = 24000 / 10

LCM(30,800) = 2400


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 5198/30, 1847/800

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 5198/30, 1847/800?

Answer: GCF of Numerators as per given numbers 5198/30, 1847/800 is

GCF of Numerators i.e. for 5198,1847 is 1

LCM of denominators i.e. for 30,800 is 2400.

Thus, GCF of Fractions is 1/2400.Finally, GCF of Fractions for 5198/30, 1847/800 is 1/2400.