Greatest Common Factor of 3305/812, 2963/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3305/812, 2963/728

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 3305/812,2963/728

Given fractions are 3305/812,2963/728

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 3305,2963

Greatest Common Factor of Numerators i.e. GCF of 3305,2963 is 1 .

LCM of Denominators means LCM of 812,728 as per the given fractions.

LCM of 812,728 is 21112 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3305,2963

GCF of Fractions 3305/812,2963/728 is 1/21112

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

Greatest Common Factor of 3305,2963 By Matching Biggest Common Factor Method

Greatest Common Factor of 3305,2963 By Matching Biggest Common Factor Method

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1,5,661,3305

Factors of 2963

List of positive integer factors of 2963 that divides 2963 without a remainder.

1,2963

Greatest Common Factor

We found the factors 3305,2963 . The biggest common factor number is the GCF number.
So the greatest common factor 3305,2963 is 1.

Lets's calculate LCM of 812,728

2 812, 728
2 406, 364
7 203, 182
29, 26

∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 26 = 21112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21112

Therefore, the GCF of Fractions 3305/812,2963/728 is 1/21112

Least Common Multiple of 812,728 with GCF Formula

Least Common Multiple of 812,728 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 812,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,728) = 28

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

GCF(812,728) x common factors =28 x 1 = 28

LCM(812,728) = ( 812 × 728 ) / 28

LCM(812,728) = 591136 / 28

LCM(812,728) = 21112


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 3305/812, 2963/728

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 3305/812, 2963/728?

Answer: GCF of Numerators as per given numbers 3305/812, 2963/728 is

GCF of Numerators i.e. for 3305,2963 is 1

LCM of denominators i.e. for 812,728 is 21112.

Thus, GCF of Fractions is 1/21112.Finally, GCF of Fractions for 3305/812, 2963/728 is 1/21112.