Greatest Common Factor of 7818/999, 6304/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7818/999, 6304/304

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 7818/999,6304/304

Given fractions are 7818/999,6304/304

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 7818,6304

Greatest Common Factor of Numerators i.e. GCF of 7818,6304 is 2 .

LCM of Denominators means LCM of 999,304 as per the given fractions.

LCM of 999,304 is 303696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7818,6304

GCF of Fractions 7818/999,6304/304 is 2/303696

2 7818, 6304
3909, 3152

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7818,6304 By Matching Biggest Common Factor Method

Greatest Common Factor of 7818,6304 By Matching Biggest Common Factor Method

Factors of 7818

List of positive integer factors of 7818 that divides 7818 without a remainder.

1,2,3,6,1303,2606,3909,7818

Factors of 6304

List of positive integer factors of 6304 that divides 6304 without a remainder.

1,2,4,8,16,32,197,394,788,1576,3152,6304

Greatest Common Factor

We found the factors 7818,6304 . The biggest common factor number is the GCF number.
So the greatest common factor 7818,6304 is 2.

Lets's calculate LCM of 999,304

Given numbers has no common factors except 1. So, there LCM is their product i.e 303696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/303696

Therefore, the GCF of Fractions 7818/999,6304/304 is 2/303696

Least Common Multiple of 999,304 with GCF Formula

Least Common Multiple of 999,304 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 999,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,304) = 1

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

GCF(999,304) x common factors =1 x 1 = 1

LCM(999,304) = ( 999 × 304 ) / 1

LCM(999,304) = 303696 / 1

LCM(999,304) = 303696


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 7818/999, 6304/304

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 7818/999, 6304/304?

Answer: GCF of Numerators as per given numbers 7818/999, 6304/304 is

GCF of Numerators i.e. for 7818,6304 is 2

LCM of denominators i.e. for 999,304 is 303696.

Thus, GCF of Fractions is 2/303696.Finally, GCF of Fractions for 7818/999, 6304/304 is 2/303696.