Greatest Common Factor of 9736/395, 4511/5833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9736/395, 4511/5833

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 9736/395,4511/5833

Given fractions are 9736/395,4511/5833

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 9736,4511

Greatest Common Factor of Numerators i.e. GCF of 9736,4511 is 1 .

LCM of Denominators means LCM of 395,5833 as per the given fractions.

LCM of 395,5833 is 2304035 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9736,4511

GCF of Fractions 9736/395,4511/5833 is 1/2304035

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

Greatest Common Factor of 9736,4511 By Matching Biggest Common Factor Method

Greatest Common Factor of 9736,4511 By Matching Biggest Common Factor Method

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1,2,4,8,1217,2434,4868,9736

Factors of 4511

List of positive integer factors of 4511 that divides 4511 without a remainder.

1,13,347,4511

Greatest Common Factor

We found the factors 9736,4511 . The biggest common factor number is the GCF number.
So the greatest common factor 9736,4511 is 1.

Lets's calculate LCM of 395,5833

Given numbers has no common factors except 1. So, there LCM is their product i.e 2304035

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2304035

Therefore, the GCF of Fractions 9736/395,4511/5833 is 1/2304035

Least Common Multiple of 395,5833 with GCF Formula

Least Common Multiple of 395,5833 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 395,5833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(395,5833) = 1

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

GCF(395,5833) x common factors =1 x 1 = 1

LCM(395,5833) = ( 395 × 5833 ) / 1

LCM(395,5833) = 2304035 / 1

LCM(395,5833) = 2304035


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 9736/395, 4511/5833

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 9736/395, 4511/5833?

Answer: GCF of Numerators as per given numbers 9736/395, 4511/5833 is

GCF of Numerators i.e. for 9736,4511 is 1

LCM of denominators i.e. for 395,5833 is 2304035.

Thus, GCF of Fractions is 1/2304035.Finally, GCF of Fractions for 9736/395, 4511/5833 is 1/2304035.