Greatest Common Factor of 4317/800, 5336/1744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4317/800, 5336/1744

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 4317/800,5336/1744

Given fractions are 4317/800,5336/1744

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 4317,5336

Greatest Common Factor of Numerators i.e. GCF of 4317,5336 is 1 .

LCM of Denominators means LCM of 800,1744 as per the given fractions.

LCM of 800,1744 is 87200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4317,5336

GCF of Fractions 4317/800,5336/1744 is 1/87200

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

Greatest Common Factor of 4317,5336 By Matching Biggest Common Factor Method

Greatest Common Factor of 4317,5336 By Matching Biggest Common Factor Method

Factors of 4317

List of positive integer factors of 4317 that divides 4317 without a remainder.

1,3,1439,4317

Factors of 5336

List of positive integer factors of 5336 that divides 5336 without a remainder.

1,2,4,8,23,29,46,58,92,116,184,232,667,1334,2668,5336

Greatest Common Factor

We found the factors 4317,5336 . The biggest common factor number is the GCF number.
So the greatest common factor 4317,5336 is 1.

Lets's calculate LCM of 800,1744

2 800, 1744
2 400, 872
2 200, 436
2 100, 218
50, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 50 x 109 = 87200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87200

Therefore, the GCF of Fractions 4317/800,5336/1744 is 1/87200

Least Common Multiple of 800,1744 with GCF Formula

Least Common Multiple of 800,1744 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 800,1744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,1744) = 16

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

GCF(800,1744) x common factors =16 x 1 = 16

LCM(800,1744) = ( 800 × 1744 ) / 16

LCM(800,1744) = 1395200 / 16

LCM(800,1744) = 87200


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 4317/800, 5336/1744

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 4317/800, 5336/1744?

Answer: GCF of Numerators as per given numbers 4317/800, 5336/1744 is

GCF of Numerators i.e. for 4317,5336 is 1

LCM of denominators i.e. for 800,1744 is 87200.

Thus, GCF of Fractions is 1/87200.Finally, GCF of Fractions for 4317/800, 5336/1744 is 1/87200.