Greatest Common Factor of 384/510, 8236/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/510, 8236/833

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 384/510,8236/833

Given fractions are 384/510,8236/833

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 384,8236

Greatest Common Factor of Numerators i.e. GCF of 384,8236 is 4 .

LCM of Denominators means LCM of 510,833 as per the given fractions.

LCM of 510,833 is 24990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,8236

GCF of Fractions 384/510,8236/833 is 4/24990

2 384, 8236
2 192, 4118
96, 2059

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 384,8236 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,8236 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 8236

List of positive integer factors of 8236 that divides 8236 without a remainder.

1,2,4,29,58,71,116,142,284,2059,4118,8236

Greatest Common Factor

We found the factors 384,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 384,8236 is 4.

Lets's calculate LCM of 510,833

17 510, 833
30, 49

∴ So the LCM of the given numbers is 17 x 30 x 49 = 24990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/24990

Therefore, the GCF of Fractions 384/510,8236/833 is 4/24990

Least Common Multiple of 510,833 with GCF Formula

Least Common Multiple of 510,833 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 510,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,833) = 17

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

GCF(510,833) x common factors =17 x 1 = 17

LCM(510,833) = ( 510 × 833 ) / 17

LCM(510,833) = 424830 / 17

LCM(510,833) = 24990


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 384/510, 8236/833

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 384/510, 8236/833?

Answer: GCF of Numerators as per given numbers 384/510, 8236/833 is

GCF of Numerators i.e. for 384,8236 is 4

LCM of denominators i.e. for 510,833 is 24990.

Thus, GCF of Fractions is 4/24990.Finally, GCF of Fractions for 384/510, 8236/833 is 4/24990.