Greatest Common Factor of 3828/343, 5808/2891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3828/343, 5808/2891

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 3828/343,5808/2891

Given fractions are 3828/343,5808/2891

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 3828,5808

Greatest Common Factor of Numerators i.e. GCF of 3828,5808 is 132 .

LCM of Denominators means LCM of 343,2891 as per the given fractions.

LCM of 343,2891 is 20237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3828,5808

GCF of Fractions 3828/343,5808/2891 is 132/20237

2 3828, 5808
2 1914, 2904
3 957, 1452
11 319, 484
29, 44

∴ So the GCF of the given numbers is 2 x 2 x 3 x 11 = 132

Greatest Common Factor of 3828,5808 By Matching Biggest Common Factor Method

Greatest Common Factor of 3828,5808 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 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Greatest Common Factor

We found the factors 3828,5808 . The biggest common factor number is the GCF number.
So the greatest common factor 3828,5808 is 132.

Lets's calculate LCM of 343,2891

7 343, 2891
7 49, 413
7, 59

∴ So the LCM of the given numbers is 7 x 7 x 7 x 59 = 20237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 132/20237

Therefore, the GCF of Fractions 3828/343,5808/2891 is 132/20237

Least Common Multiple of 343,2891 with GCF Formula

Least Common Multiple of 343,2891 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 343,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,2891) = 49

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

GCF(343,2891) x common factors =49 x 1 = 49

LCM(343,2891) = ( 343 × 2891 ) / 49

LCM(343,2891) = 991613 / 49

LCM(343,2891) = 20237


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 3828/343, 5808/2891

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 3828/343, 5808/2891?

Answer: GCF of Numerators as per given numbers 3828/343, 5808/2891 is

GCF of Numerators i.e. for 3828,5808 is 132

LCM of denominators i.e. for 343,2891 is 20237.

Thus, GCF of Fractions is 132/20237.Finally, GCF of Fractions for 3828/343, 5808/2891 is 132/20237.