Greatest Common Factor of 4800/849, 3785/1917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4800/849, 3785/1917

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 4800/849,3785/1917

Given fractions are 4800/849,3785/1917

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 4800,3785

Greatest Common Factor of Numerators i.e. GCF of 4800,3785 is 5 .

LCM of Denominators means LCM of 849,1917 as per the given fractions.

LCM of 849,1917 is 542511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4800,3785

GCF of Fractions 4800/849,3785/1917 is 5/542511

5 4800, 3785
960, 757

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

Greatest Common Factor of 4800,3785 By Matching Biggest Common Factor Method

Greatest Common Factor of 4800,3785 By Matching Biggest Common Factor Method

Factors of 4800

List of positive integer factors of 4800 that divides 4800 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800

Factors of 3785

List of positive integer factors of 3785 that divides 3785 without a remainder.

1,5,757,3785

Greatest Common Factor

We found the factors 4800,3785 . The biggest common factor number is the GCF number.
So the greatest common factor 4800,3785 is 5.

Lets's calculate LCM of 849,1917

3 849, 1917
283, 639

∴ So the LCM of the given numbers is 3 x 283 x 639 = 542511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/542511

Therefore, the GCF of Fractions 4800/849,3785/1917 is 5/542511

Least Common Multiple of 849,1917 with GCF Formula

Least Common Multiple of 849,1917 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 849,1917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,1917) = 3

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

GCF(849,1917) x common factors =3 x 1 = 3

LCM(849,1917) = ( 849 × 1917 ) / 3

LCM(849,1917) = 1627533 / 3

LCM(849,1917) = 542511


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 4800/849, 3785/1917

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 4800/849, 3785/1917?

Answer: GCF of Numerators as per given numbers 4800/849, 3785/1917 is

GCF of Numerators i.e. for 4800,3785 is 5

LCM of denominators i.e. for 849,1917 is 542511.

Thus, GCF of Fractions is 5/542511.Finally, GCF of Fractions for 4800/849, 3785/1917 is 5/542511.