Greatest Common Factor of 4797/65, 3735/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4797/65, 3735/327

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 4797/65,3735/327

Given fractions are 4797/65,3735/327

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 4797,3735

Greatest Common Factor of Numerators i.e. GCF of 4797,3735 is 9 .

LCM of Denominators means LCM of 65,327 as per the given fractions.

LCM of 65,327 is 21255 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4797,3735

GCF of Fractions 4797/65,3735/327 is 9/21255

3 4797, 3735
3 1599, 1245
533, 415

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4797,3735 By Matching Biggest Common Factor Method

Greatest Common Factor of 4797,3735 By Matching Biggest Common Factor Method

Factors of 4797

List of positive integer factors of 4797 that divides 4797 without a remainder.

1,3,9,13,39,41,117,123,369,533,1599,4797

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

Greatest Common Factor

We found the factors 4797,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 4797,3735 is 9.

Lets's calculate LCM of 65,327

Given numbers has no common factors except 1. So, there LCM is their product i.e 21255

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/21255

Therefore, the GCF of Fractions 4797/65,3735/327 is 9/21255

Least Common Multiple of 65,327 with GCF Formula

Least Common Multiple of 65,327 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 65,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,327) = 1

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

GCF(65,327) x common factors =1 x 1 = 1

LCM(65,327) = ( 65 × 327 ) / 1

LCM(65,327) = 21255 / 1

LCM(65,327) = 21255


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 4797/65, 3735/327

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 4797/65, 3735/327?

Answer: GCF of Numerators as per given numbers 4797/65, 3735/327 is

GCF of Numerators i.e. for 4797,3735 is 9

LCM of denominators i.e. for 65,327 is 21255.

Thus, GCF of Fractions is 9/21255.Finally, GCF of Fractions for 4797/65, 3735/327 is 9/21255.