Greatest Common Factor of 9857/509, 4878/8279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9857/509, 4878/8279

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 9857/509,4878/8279

Given fractions are 9857/509,4878/8279

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 9857,4878

Greatest Common Factor of Numerators i.e. GCF of 9857,4878 is 1 .

LCM of Denominators means LCM of 509,8279 as per the given fractions.

LCM of 509,8279 is 4214011 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9857,4878

GCF of Fractions 9857/509,4878/8279 is 1/4214011

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

Greatest Common Factor of 9857,4878 By Matching Biggest Common Factor Method

Greatest Common Factor of 9857,4878 By Matching Biggest Common Factor Method

Factors of 9857

List of positive integer factors of 9857 that divides 9857 without a remainder.

1,9857

Factors of 4878

List of positive integer factors of 4878 that divides 4878 without a remainder.

1,2,3,6,9,18,271,542,813,1626,2439,4878

Greatest Common Factor

We found the factors 9857,4878 . The biggest common factor number is the GCF number.
So the greatest common factor 9857,4878 is 1.

Lets's calculate LCM of 509,8279

Given numbers has no common factors except 1. So, there LCM is their product i.e 4214011

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4214011

Therefore, the GCF of Fractions 9857/509,4878/8279 is 1/4214011

Least Common Multiple of 509,8279 with GCF Formula

Least Common Multiple of 509,8279 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 509,8279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,8279) = 1

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

GCF(509,8279) x common factors =1 x 1 = 1

LCM(509,8279) = ( 509 × 8279 ) / 1

LCM(509,8279) = 4214011 / 1

LCM(509,8279) = 4214011


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 9857/509, 4878/8279

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 9857/509, 4878/8279?

Answer: GCF of Numerators as per given numbers 9857/509, 4878/8279 is

GCF of Numerators i.e. for 9857,4878 is 1

LCM of denominators i.e. for 509,8279 is 4214011.

Thus, GCF of Fractions is 1/4214011.Finally, GCF of Fractions for 9857/509, 4878/8279 is 1/4214011.