Greatest Common Factor of 4105/16, 4797/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4105/16, 4797/964

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 4105/16,4797/964

Given fractions are 4105/16,4797/964

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 4105,4797

Greatest Common Factor of Numerators i.e. GCF of 4105,4797 is 1 .

LCM of Denominators means LCM of 16,964 as per the given fractions.

LCM of 16,964 is 3856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4105,4797

GCF of Fractions 4105/16,4797/964 is 1/3856

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

Greatest Common Factor of 4105,4797 By Matching Biggest Common Factor Method

Greatest Common Factor of 4105,4797 By Matching Biggest Common Factor Method

Factors of 4105

List of positive integer factors of 4105 that divides 4105 without a remainder.

1,5,821,4105

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

Greatest Common Factor

We found the factors 4105,4797 . The biggest common factor number is the GCF number.
So the greatest common factor 4105,4797 is 1.

Lets's calculate LCM of 16,964

2 16, 964
2 8, 482
4, 241

∴ So the LCM of the given numbers is 2 x 2 x 4 x 241 = 3856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3856

Therefore, the GCF of Fractions 4105/16,4797/964 is 1/3856

Least Common Multiple of 16,964 with GCF Formula

Least Common Multiple of 16,964 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 16,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,964) = 4

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

GCF(16,964) x common factors =4 x 1 = 4

LCM(16,964) = ( 16 × 964 ) / 4

LCM(16,964) = 15424 / 4

LCM(16,964) = 3856


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 4105/16, 4797/964

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 4105/16, 4797/964?

Answer: GCF of Numerators as per given numbers 4105/16, 4797/964 is

GCF of Numerators i.e. for 4105,4797 is 1

LCM of denominators i.e. for 16,964 is 3856.

Thus, GCF of Fractions is 1/3856.Finally, GCF of Fractions for 4105/16, 4797/964 is 1/3856.