Greatest Common Factor of 96/813, 6932/6035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/813, 6932/6035

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 96/813,6932/6035

Given fractions are 96/813,6932/6035

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 96,6932

Greatest Common Factor of Numerators i.e. GCF of 96,6932 is 4 .

LCM of Denominators means LCM of 813,6035 as per the given fractions.

LCM of 813,6035 is 4906455 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,6932

GCF of Fractions 96/813,6932/6035 is 4/4906455

2 96, 6932
2 48, 3466
24, 1733

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 96,6932 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,6932 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 6932

List of positive integer factors of 6932 that divides 6932 without a remainder.

1,2,4,1733,3466,6932

Greatest Common Factor

We found the factors 96,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 96,6932 is 4.

Lets's calculate LCM of 813,6035

Given numbers has no common factors except 1. So, there LCM is their product i.e 4906455

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4906455

Therefore, the GCF of Fractions 96/813,6932/6035 is 4/4906455

Least Common Multiple of 813,6035 with GCF Formula

Least Common Multiple of 813,6035 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 813,6035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,6035) = 1

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

GCF(813,6035) x common factors =1 x 1 = 1

LCM(813,6035) = ( 813 × 6035 ) / 1

LCM(813,6035) = 4906455 / 1

LCM(813,6035) = 4906455


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 96/813, 6932/6035

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 96/813, 6932/6035?

Answer: GCF of Numerators as per given numbers 96/813, 6932/6035 is

GCF of Numerators i.e. for 96,6932 is 4

LCM of denominators i.e. for 813,6035 is 4906455.

Thus, GCF of Fractions is 4/4906455.Finally, GCF of Fractions for 96/813, 6932/6035 is 4/4906455.