Greatest Common Factor of 5828/386, 6777/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5828/386, 6777/448

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 5828/386,6777/448

Given fractions are 5828/386,6777/448

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 5828,6777

Greatest Common Factor of Numerators i.e. GCF of 5828,6777 is 1 .

LCM of Denominators means LCM of 386,448 as per the given fractions.

LCM of 386,448 is 86464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5828,6777

GCF of Fractions 5828/386,6777/448 is 1/86464

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5828,6777 By Matching Biggest Common Factor Method

Greatest Common Factor of 5828,6777 By Matching Biggest Common Factor Method

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1,2,4,31,47,62,94,124,188,1457,2914,5828

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors 5828,6777 . The biggest common factor number is the GCF number.
So the greatest common factor 5828,6777 is 1.

Lets's calculate LCM of 386,448

2 386, 448
193, 224

∴ So the LCM of the given numbers is 2 x 193 x 224 = 86464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86464

Therefore, the GCF of Fractions 5828/386,6777/448 is 1/86464

Least Common Multiple of 386,448 with GCF Formula

Least Common Multiple of 386,448 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 386,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,448) = 2

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

GCF(386,448) x common factors =2 x 1 = 2

LCM(386,448) = ( 386 × 448 ) / 2

LCM(386,448) = 172928 / 2

LCM(386,448) = 86464


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 5828/386, 6777/448

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 5828/386, 6777/448?

Answer: GCF of Numerators as per given numbers 5828/386, 6777/448 is

GCF of Numerators i.e. for 5828,6777 is 1

LCM of denominators i.e. for 386,448 is 86464.

Thus, GCF of Fractions is 1/86464.Finally, GCF of Fractions for 5828/386, 6777/448 is 1/86464.