Greatest Common Factor of 6829/615, 1096/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6829/615, 1096/732

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 6829/615,1096/732

Given fractions are 6829/615,1096/732

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 6829,1096

Greatest Common Factor of Numerators i.e. GCF of 6829,1096 is 1 .

LCM of Denominators means LCM of 615,732 as per the given fractions.

LCM of 615,732 is 150060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6829,1096

GCF of Fractions 6829/615,1096/732 is 1/150060

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

Greatest Common Factor of 6829,1096 By Matching Biggest Common Factor Method

Greatest Common Factor of 6829,1096 By Matching Biggest Common Factor Method

Factors of 6829

List of positive integer factors of 6829 that divides 6829 without a remainder.

1,6829

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Greatest Common Factor

We found the factors 6829,1096 . The biggest common factor number is the GCF number.
So the greatest common factor 6829,1096 is 1.

Lets's calculate LCM of 615,732

3 615, 732
205, 244

∴ So the LCM of the given numbers is 3 x 205 x 244 = 150060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150060

Therefore, the GCF of Fractions 6829/615,1096/732 is 1/150060

Least Common Multiple of 615,732 with GCF Formula

Least Common Multiple of 615,732 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 615,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,732) = 3

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

GCF(615,732) x common factors =3 x 1 = 3

LCM(615,732) = ( 615 × 732 ) / 3

LCM(615,732) = 450180 / 3

LCM(615,732) = 150060


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 6829/615, 1096/732

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 6829/615, 1096/732?

Answer: GCF of Numerators as per given numbers 6829/615, 1096/732 is

GCF of Numerators i.e. for 6829,1096 is 1

LCM of denominators i.e. for 615,732 is 150060.

Thus, GCF of Fractions is 1/150060.Finally, GCF of Fractions for 6829/615, 1096/732 is 1/150060.