Greatest Common Factor of 4304/285, 8378/8512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4304/285, 8378/8512

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 4304/285,8378/8512

Given fractions are 4304/285,8378/8512

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 4304,8378

Greatest Common Factor of Numerators i.e. GCF of 4304,8378 is 2 .

LCM of Denominators means LCM of 285,8512 as per the given fractions.

LCM of 285,8512 is 127680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4304,8378

GCF of Fractions 4304/285,8378/8512 is 2/127680

2 4304, 8378
2152, 4189

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

Greatest Common Factor of 4304,8378 By Matching Biggest Common Factor Method

Greatest Common Factor of 4304,8378 By Matching Biggest Common Factor Method

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Factors of 8378

List of positive integer factors of 8378 that divides 8378 without a remainder.

1,2,59,71,118,142,4189,8378

Greatest Common Factor

We found the factors 4304,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 4304,8378 is 2.

Lets's calculate LCM of 285,8512

19 285, 8512
15, 448

∴ So the LCM of the given numbers is 19 x 15 x 448 = 127680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/127680

Therefore, the GCF of Fractions 4304/285,8378/8512 is 2/127680

Least Common Multiple of 285,8512 with GCF Formula

Least Common Multiple of 285,8512 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 285,8512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,8512) = 19

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

GCF(285,8512) x common factors =19 x 1 = 19

LCM(285,8512) = ( 285 × 8512 ) / 19

LCM(285,8512) = 2425920 / 19

LCM(285,8512) = 127680


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 4304/285, 8378/8512

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 4304/285, 8378/8512?

Answer: GCF of Numerators as per given numbers 4304/285, 8378/8512 is

GCF of Numerators i.e. for 4304,8378 is 2

LCM of denominators i.e. for 285,8512 is 127680.

Thus, GCF of Fractions is 2/127680.Finally, GCF of Fractions for 4304/285, 8378/8512 is 2/127680.