Greatest Common Factor of 6635/386, 1075/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6635/386, 1075/788

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 6635/386,1075/788

Given fractions are 6635/386,1075/788

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 6635,1075

Greatest Common Factor of Numerators i.e. GCF of 6635,1075 is 5 .

LCM of Denominators means LCM of 386,788 as per the given fractions.

LCM of 386,788 is 152084 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6635,1075

GCF of Fractions 6635/386,1075/788 is 5/152084

5 6635, 1075
1327, 215

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 6635,1075 By Matching Biggest Common Factor Method

Greatest Common Factor of 6635,1075 By Matching Biggest Common Factor Method

Factors of 6635

List of positive integer factors of 6635 that divides 6635 without a remainder.

1,5,1327,6635

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Greatest Common Factor

We found the factors 6635,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 6635,1075 is 5.

Lets's calculate LCM of 386,788

2 386, 788
193, 394

∴ So the LCM of the given numbers is 2 x 193 x 394 = 152084

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/152084

Therefore, the GCF of Fractions 6635/386,1075/788 is 5/152084

Least Common Multiple of 386,788 with GCF Formula

Least Common Multiple of 386,788 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 386,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,788) = 2

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

GCF(386,788) x common factors =2 x 1 = 2

LCM(386,788) = ( 386 × 788 ) / 2

LCM(386,788) = 304168 / 2

LCM(386,788) = 152084


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 6635/386, 1075/788

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 6635/386, 1075/788?

Answer: GCF of Numerators as per given numbers 6635/386, 1075/788 is

GCF of Numerators i.e. for 6635,1075 is 5

LCM of denominators i.e. for 386,788 is 152084.

Thus, GCF of Fractions is 5/152084.Finally, GCF of Fractions for 6635/386, 1075/788 is 5/152084.