Greatest Common Factor of 8228/29, 3824/277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8228/29, 3824/277

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 8228/29,3824/277

Given fractions are 8228/29,3824/277

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 8228,3824

Greatest Common Factor of Numerators i.e. GCF of 8228,3824 is 4 .

LCM of Denominators means LCM of 29,277 as per the given fractions.

LCM of 29,277 is 8033 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8228,3824

GCF of Fractions 8228/29,3824/277 is 4/8033

2 8228, 3824
2 4114, 1912
2057, 956

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

Greatest Common Factor of 8228,3824 By Matching Biggest Common Factor Method

Greatest Common Factor of 8228,3824 By Matching Biggest Common Factor Method

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Factors of 3824

List of positive integer factors of 3824 that divides 3824 without a remainder.

1,2,4,8,16,239,478,956,1912,3824

Greatest Common Factor

We found the factors 8228,3824 . The biggest common factor number is the GCF number.
So the greatest common factor 8228,3824 is 4.

Lets's calculate LCM of 29,277

Given numbers has no common factors except 1. So, there LCM is their product i.e 8033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/8033

Therefore, the GCF of Fractions 8228/29,3824/277 is 4/8033

Least Common Multiple of 29,277 with GCF Formula

Least Common Multiple of 29,277 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 29,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,277) = 1

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

GCF(29,277) x common factors =1 x 1 = 1

LCM(29,277) = ( 29 × 277 ) / 1

LCM(29,277) = 8033 / 1

LCM(29,277) = 8033


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 8228/29, 3824/277

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 8228/29, 3824/277?

Answer: GCF of Numerators as per given numbers 8228/29, 3824/277 is

GCF of Numerators i.e. for 8228,3824 is 4

LCM of denominators i.e. for 29,277 is 8033.

Thus, GCF of Fractions is 4/8033.Finally, GCF of Fractions for 8228/29, 3824/277 is 4/8033.