Greatest Common Factor of 8084/382, 2248/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8084/382, 2248/288

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 8084/382,2248/288

Given fractions are 8084/382,2248/288

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 8084,2248

Greatest Common Factor of Numerators i.e. GCF of 8084,2248 is 4 .

LCM of Denominators means LCM of 382,288 as per the given fractions.

LCM of 382,288 is 55008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8084,2248

GCF of Fractions 8084/382,2248/288 is 4/55008

2 8084, 2248
2 4042, 1124
2021, 562

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

Greatest Common Factor of 8084,2248 By Matching Biggest Common Factor Method

Greatest Common Factor of 8084,2248 By Matching Biggest Common Factor Method

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Factors of 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1,2,4,8,281,562,1124,2248

Greatest Common Factor

We found the factors 8084,2248 . The biggest common factor number is the GCF number.
So the greatest common factor 8084,2248 is 4.

Lets's calculate LCM of 382,288

2 382, 288
191, 144

∴ So the LCM of the given numbers is 2 x 191 x 144 = 55008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55008

Therefore, the GCF of Fractions 8084/382,2248/288 is 4/55008

Least Common Multiple of 382,288 with GCF Formula

Least Common Multiple of 382,288 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 382,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(382,288) = 2

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

GCF(382,288) x common factors =2 x 1 = 2

LCM(382,288) = ( 382 × 288 ) / 2

LCM(382,288) = 110016 / 2

LCM(382,288) = 55008


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 8084/382, 2248/288

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 8084/382, 2248/288?

Answer: GCF of Numerators as per given numbers 8084/382, 2248/288 is

GCF of Numerators i.e. for 8084,2248 is 4

LCM of denominators i.e. for 382,288 is 55008.

Thus, GCF of Fractions is 4/55008.Finally, GCF of Fractions for 8084/382, 2248/288 is 4/55008.