Greatest Common Factor of 6822/361, 4158/1128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6822/361, 4158/1128

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 6822/361,4158/1128

Given fractions are 6822/361,4158/1128

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 6822,4158

Greatest Common Factor of Numerators i.e. GCF of 6822,4158 is 18 .

LCM of Denominators means LCM of 361,1128 as per the given fractions.

LCM of 361,1128 is 407208 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6822,4158

GCF of Fractions 6822/361,4158/1128 is 18/407208

2 6822, 4158
3 3411, 2079
3 1137, 693
379, 231

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 6822,4158 By Matching Biggest Common Factor Method

Greatest Common Factor of 6822,4158 By Matching Biggest Common Factor Method

Factors of 6822

List of positive integer factors of 6822 that divides 6822 without a remainder.

1,2,3,6,9,18,379,758,1137,2274,3411,6822

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158

Greatest Common Factor

We found the factors 6822,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 6822,4158 is 18.

Lets's calculate LCM of 361,1128

Given numbers has no common factors except 1. So, there LCM is their product i.e 407208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/407208

Therefore, the GCF of Fractions 6822/361,4158/1128 is 18/407208

Least Common Multiple of 361,1128 with GCF Formula

Least Common Multiple of 361,1128 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 361,1128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,1128) = 1

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

GCF(361,1128) x common factors =1 x 1 = 1

LCM(361,1128) = ( 361 × 1128 ) / 1

LCM(361,1128) = 407208 / 1

LCM(361,1128) = 407208


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 6822/361, 4158/1128

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 6822/361, 4158/1128?

Answer: GCF of Numerators as per given numbers 6822/361, 4158/1128 is

GCF of Numerators i.e. for 6822,4158 is 18

LCM of denominators i.e. for 361,1128 is 407208.

Thus, GCF of Fractions is 18/407208.Finally, GCF of Fractions for 6822/361, 4158/1128 is 18/407208.