Greatest Common Factor of 8284/69, 5376/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8284/69, 5376/728

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 8284/69,5376/728

Given fractions are 8284/69,5376/728

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 8284,5376

Greatest Common Factor of Numerators i.e. GCF of 8284,5376 is 4 .

LCM of Denominators means LCM of 69,728 as per the given fractions.

LCM of 69,728 is 50232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8284,5376

GCF of Fractions 8284/69,5376/728 is 4/50232

2 8284, 5376
2 4142, 2688
2071, 1344

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

Greatest Common Factor of 8284,5376 By Matching Biggest Common Factor Method

Greatest Common Factor of 8284,5376 By Matching Biggest Common Factor Method

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1,2,4,19,38,76,109,218,436,2071,4142,8284

Factors of 5376

List of positive integer factors of 5376 that divides 5376 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,256,336,384,448,672,768,896,1344,1792,2688,5376

Greatest Common Factor

We found the factors 8284,5376 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,5376 is 4.

Lets's calculate LCM of 69,728

Given numbers has no common factors except 1. So, there LCM is their product i.e 50232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50232

Therefore, the GCF of Fractions 8284/69,5376/728 is 4/50232

Least Common Multiple of 69,728 with GCF Formula

Least Common Multiple of 69,728 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 69,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,728) = 1

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

GCF(69,728) x common factors =1 x 1 = 1

LCM(69,728) = ( 69 × 728 ) / 1

LCM(69,728) = 50232 / 1

LCM(69,728) = 50232


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 8284/69, 5376/728

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 8284/69, 5376/728?

Answer: GCF of Numerators as per given numbers 8284/69, 5376/728 is

GCF of Numerators i.e. for 8284,5376 is 4

LCM of denominators i.e. for 69,728 is 50232.

Thus, GCF of Fractions is 4/50232.Finally, GCF of Fractions for 8284/69, 5376/728 is 4/50232.