Greatest Common Factor of 3828/228, 8552/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3828/228, 8552/354

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 3828/228,8552/354

Given fractions are 3828/228,8552/354

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 3828,8552

Greatest Common Factor of Numerators i.e. GCF of 3828,8552 is 4 .

LCM of Denominators means LCM of 228,354 as per the given fractions.

LCM of 228,354 is 13452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3828,8552

GCF of Fractions 3828/228,8552/354 is 4/13452

2 3828, 8552
2 1914, 4276
957, 2138

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

Greatest Common Factor of 3828,8552 By Matching Biggest Common Factor Method

Greatest Common Factor of 3828,8552 By Matching Biggest Common Factor Method

Factors of 3828

List of positive integer factors of 3828 that divides 3828 without a remainder.

1,2,3,4,6,11,12,22,29,33,44,58,66,87,116,132,174,319,348,638,957,1276,1914,3828

Factors of 8552

List of positive integer factors of 8552 that divides 8552 without a remainder.

1,2,4,8,1069,2138,4276,8552

Greatest Common Factor

We found the factors 3828,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,8552 is 4.

Lets's calculate LCM of 228,354

2 228, 354
3 114, 177
38, 59

∴ So the LCM of the given numbers is 2 x 3 x 38 x 59 = 13452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13452

Therefore, the GCF of Fractions 3828/228,8552/354 is 4/13452

Least Common Multiple of 228,354 with GCF Formula

Least Common Multiple of 228,354 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 228,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,354) = 6

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

GCF(228,354) x common factors =6 x 1 = 6

LCM(228,354) = ( 228 × 354 ) / 6

LCM(228,354) = 80712 / 6

LCM(228,354) = 13452


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 3828/228, 8552/354

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 3828/228, 8552/354?

Answer: GCF of Numerators as per given numbers 3828/228, 8552/354 is

GCF of Numerators i.e. for 3828,8552 is 4

LCM of denominators i.e. for 228,354 is 13452.

Thus, GCF of Fractions is 4/13452.Finally, GCF of Fractions for 3828/228, 8552/354 is 4/13452.