Greatest Common Factor of 4360/29, 8301/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4360/29, 8301/798

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 4360/29,8301/798

Given fractions are 4360/29,8301/798

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 4360,8301

Greatest Common Factor of Numerators i.e. GCF of 4360,8301 is 1 .

LCM of Denominators means LCM of 29,798 as per the given fractions.

LCM of 29,798 is 23142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4360,8301

GCF of Fractions 4360/29,8301/798 is 1/23142

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

Greatest Common Factor of 4360,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 4360,8301 By Matching Biggest Common Factor Method

Factors of 4360

List of positive integer factors of 4360 that divides 4360 without a remainder.

1,2,4,5,8,10,20,40,109,218,436,545,872,1090,2180,4360

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 4360,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 4360,8301 is 1.

Lets's calculate LCM of 29,798

Given numbers has no common factors except 1. So, there LCM is their product i.e 23142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23142

Therefore, the GCF of Fractions 4360/29,8301/798 is 1/23142

Least Common Multiple of 29,798 with GCF Formula

Least Common Multiple of 29,798 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 29,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,798) = 1

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

GCF(29,798) x common factors =1 x 1 = 1

LCM(29,798) = ( 29 × 798 ) / 1

LCM(29,798) = 23142 / 1

LCM(29,798) = 23142


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 4360/29, 8301/798

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 4360/29, 8301/798?

Answer: GCF of Numerators as per given numbers 4360/29, 8301/798 is

GCF of Numerators i.e. for 4360,8301 is 1

LCM of denominators i.e. for 29,798 is 23142.

Thus, GCF of Fractions is 1/23142.Finally, GCF of Fractions for 4360/29, 8301/798 is 1/23142.