Greatest Common Factor of 9960/839, 6363/3049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9960/839, 6363/3049

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 9960/839,6363/3049

Given fractions are 9960/839,6363/3049

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 9960,6363

Greatest Common Factor of Numerators i.e. GCF of 9960,6363 is 3 .

LCM of Denominators means LCM of 839,3049 as per the given fractions.

LCM of 839,3049 is 2558111 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9960,6363

GCF of Fractions 9960/839,6363/3049 is 3/2558111

3 9960, 6363
3320, 2121

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

Greatest Common Factor of 9960,6363 By Matching Biggest Common Factor Method

Greatest Common Factor of 9960,6363 By Matching Biggest Common Factor Method

Factors of 9960

List of positive integer factors of 9960 that divides 9960 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,83,120,166,249,332,415,498,664,830,996,1245,1660,1992,2490,3320,4980,9960

Factors of 6363

List of positive integer factors of 6363 that divides 6363 without a remainder.

1,3,7,9,21,63,101,303,707,909,2121,6363

Greatest Common Factor

We found the factors 9960,6363 . The biggest common factor number is the GCF number.
So the greatest common factor 9960,6363 is 3.

Lets's calculate LCM of 839,3049

Given numbers has no common factors except 1. So, there LCM is their product i.e 2558111

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2558111

Therefore, the GCF of Fractions 9960/839,6363/3049 is 3/2558111

Least Common Multiple of 839,3049 with GCF Formula

Least Common Multiple of 839,3049 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 839,3049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,3049) = 1

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

GCF(839,3049) x common factors =1 x 1 = 1

LCM(839,3049) = ( 839 × 3049 ) / 1

LCM(839,3049) = 2558111 / 1

LCM(839,3049) = 2558111


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 9960/839, 6363/3049

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 9960/839, 6363/3049?

Answer: GCF of Numerators as per given numbers 9960/839, 6363/3049 is

GCF of Numerators i.e. for 9960,6363 is 3

LCM of denominators i.e. for 839,3049 is 2558111.

Thus, GCF of Fractions is 3/2558111.Finally, GCF of Fractions for 9960/839, 6363/3049 is 3/2558111.