Greatest Common Factor of 7305/66, 8735/861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7305/66, 8735/861

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 7305/66,8735/861

Given fractions are 7305/66,8735/861

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 7305,8735

Greatest Common Factor of Numerators i.e. GCF of 7305,8735 is 5 .

LCM of Denominators means LCM of 66,861 as per the given fractions.

LCM of 66,861 is 18942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7305,8735

GCF of Fractions 7305/66,8735/861 is 5/18942

5 7305, 8735
1461, 1747

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

Greatest Common Factor of 7305,8735 By Matching Biggest Common Factor Method

Greatest Common Factor of 7305,8735 By Matching Biggest Common Factor Method

Factors of 7305

List of positive integer factors of 7305 that divides 7305 without a remainder.

1,3,5,15,487,1461,2435,7305

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1,5,1747,8735

Greatest Common Factor

We found the factors 7305,8735 . The biggest common factor number is the GCF number.
So the greatest common factor 7305,8735 is 5.

Lets's calculate LCM of 66,861

3 66, 861
22, 287

∴ So the LCM of the given numbers is 3 x 22 x 287 = 18942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/18942

Therefore, the GCF of Fractions 7305/66,8735/861 is 5/18942

Least Common Multiple of 66,861 with GCF Formula

Least Common Multiple of 66,861 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 66,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,861) = 3

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

GCF(66,861) x common factors =3 x 1 = 3

LCM(66,861) = ( 66 × 861 ) / 3

LCM(66,861) = 56826 / 3

LCM(66,861) = 18942


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 7305/66, 8735/861

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 7305/66, 8735/861?

Answer: GCF of Numerators as per given numbers 7305/66, 8735/861 is

GCF of Numerators i.e. for 7305,8735 is 5

LCM of denominators i.e. for 66,861 is 18942.

Thus, GCF of Fractions is 5/18942.Finally, GCF of Fractions for 7305/66, 8735/861 is 5/18942.