Greatest Common Factor of 5832/83, 8349/865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5832/83, 8349/865

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 5832/83,8349/865

Given fractions are 5832/83,8349/865

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 5832,8349

Greatest Common Factor of Numerators i.e. GCF of 5832,8349 is 3 .

LCM of Denominators means LCM of 83,865 as per the given fractions.

LCM of 83,865 is 71795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5832,8349

GCF of Fractions 5832/83,8349/865 is 3/71795

3 5832, 8349
1944, 2783

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

Greatest Common Factor of 5832,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 5832,8349 By Matching Biggest Common Factor Method

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 5832,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,8349 is 3.

Lets's calculate LCM of 83,865

Given numbers has no common factors except 1. So, there LCM is their product i.e 71795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/71795

Therefore, the GCF of Fractions 5832/83,8349/865 is 3/71795

Least Common Multiple of 83,865 with GCF Formula

Least Common Multiple of 83,865 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 83,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,865) = 1

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

GCF(83,865) x common factors =1 x 1 = 1

LCM(83,865) = ( 83 × 865 ) / 1

LCM(83,865) = 71795 / 1

LCM(83,865) = 71795


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 5832/83, 8349/865

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 5832/83, 8349/865?

Answer: GCF of Numerators as per given numbers 5832/83, 8349/865 is

GCF of Numerators i.e. for 5832,8349 is 3

LCM of denominators i.e. for 83,865 is 71795.

Thus, GCF of Fractions is 3/71795.Finally, GCF of Fractions for 5832/83, 8349/865 is 3/71795.