Greatest Common Factor of 4113/660, 9823/9899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4113/660, 9823/9899

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 4113/660,9823/9899

Given fractions are 4113/660,9823/9899

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 4113,9823

Greatest Common Factor of Numerators i.e. GCF of 4113,9823 is 1 .

LCM of Denominators means LCM of 660,9899 as per the given fractions.

LCM of 660,9899 is 6533340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4113,9823

GCF of Fractions 4113/660,9823/9899 is 1/6533340

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

Greatest Common Factor of 4113,9823 By Matching Biggest Common Factor Method

Greatest Common Factor of 4113,9823 By Matching Biggest Common Factor Method

Factors of 4113

List of positive integer factors of 4113 that divides 4113 without a remainder.

1,3,9,457,1371,4113

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Greatest Common Factor

We found the factors 4113,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 4113,9823 is 1.

Lets's calculate LCM of 660,9899

Given numbers has no common factors except 1. So, there LCM is their product i.e 6533340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6533340

Therefore, the GCF of Fractions 4113/660,9823/9899 is 1/6533340

Least Common Multiple of 660,9899 with GCF Formula

Least Common Multiple of 660,9899 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 660,9899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,9899) = 1

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

GCF(660,9899) x common factors =1 x 1 = 1

LCM(660,9899) = ( 660 × 9899 ) / 1

LCM(660,9899) = 6533340 / 1

LCM(660,9899) = 6533340


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 4113/660, 9823/9899

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 4113/660, 9823/9899?

Answer: GCF of Numerators as per given numbers 4113/660, 9823/9899 is

GCF of Numerators i.e. for 4113,9823 is 1

LCM of denominators i.e. for 660,9899 is 6533340.

Thus, GCF of Fractions is 1/6533340.Finally, GCF of Fractions for 4113/660, 9823/9899 is 1/6533340.