Greatest Common Factor of 8729/724, 4983/7035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8729/724, 4983/7035

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 8729/724,4983/7035

Given fractions are 8729/724,4983/7035

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 8729,4983

Greatest Common Factor of Numerators i.e. GCF of 8729,4983 is 1 .

LCM of Denominators means LCM of 724,7035 as per the given fractions.

LCM of 724,7035 is 5093340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8729,4983

GCF of Fractions 8729/724,4983/7035 is 1/5093340

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

Greatest Common Factor of 8729,4983 By Matching Biggest Common Factor Method

Greatest Common Factor of 8729,4983 By Matching Biggest Common Factor Method

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1,7,29,43,203,301,1247,8729

Factors of 4983

List of positive integer factors of 4983 that divides 4983 without a remainder.

1,3,11,33,151,453,1661,4983

Greatest Common Factor

We found the factors 8729,4983 . The biggest common factor number is the GCF number.
So the greatest common factor 8729,4983 is 1.

Lets's calculate LCM of 724,7035

Given numbers has no common factors except 1. So, there LCM is their product i.e 5093340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5093340

Therefore, the GCF of Fractions 8729/724,4983/7035 is 1/5093340

Least Common Multiple of 724,7035 with GCF Formula

Least Common Multiple of 724,7035 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 724,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,7035) = 1

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

GCF(724,7035) x common factors =1 x 1 = 1

LCM(724,7035) = ( 724 × 7035 ) / 1

LCM(724,7035) = 5093340 / 1

LCM(724,7035) = 5093340


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 8729/724, 4983/7035

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 8729/724, 4983/7035?

Answer: GCF of Numerators as per given numbers 8729/724, 4983/7035 is

GCF of Numerators i.e. for 8729,4983 is 1

LCM of denominators i.e. for 724,7035 is 5093340.

Thus, GCF of Fractions is 1/5093340.Finally, GCF of Fractions for 8729/724, 4983/7035 is 1/5093340.