Greatest Common Factor of 6618/818, 3198/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6618/818, 3198/522

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 6618/818,3198/522

Given fractions are 6618/818,3198/522

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 6618,3198

Greatest Common Factor of Numerators i.e. GCF of 6618,3198 is 6 .

LCM of Denominators means LCM of 818,522 as per the given fractions.

LCM of 818,522 is 213498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6618,3198

GCF of Fractions 6618/818,3198/522 is 6/213498

2 6618, 3198
3 3309, 1599
1103, 533

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 6618,3198 By Matching Biggest Common Factor Method

Greatest Common Factor of 6618,3198 By Matching Biggest Common Factor Method

Factors of 6618

List of positive integer factors of 6618 that divides 6618 without a remainder.

1,2,3,6,1103,2206,3309,6618

Factors of 3198

List of positive integer factors of 3198 that divides 3198 without a remainder.

1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198

Greatest Common Factor

We found the factors 6618,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 6618,3198 is 6.

Lets's calculate LCM of 818,522

2 818, 522
409, 261

∴ So the LCM of the given numbers is 2 x 409 x 261 = 213498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/213498

Therefore, the GCF of Fractions 6618/818,3198/522 is 6/213498

Least Common Multiple of 818,522 with GCF Formula

Least Common Multiple of 818,522 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 818,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,522) = 2

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

GCF(818,522) x common factors =2 x 1 = 2

LCM(818,522) = ( 818 × 522 ) / 2

LCM(818,522) = 426996 / 2

LCM(818,522) = 213498


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 6618/818, 3198/522

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 6618/818, 3198/522?

Answer: GCF of Numerators as per given numbers 6618/818, 3198/522 is

GCF of Numerators i.e. for 6618,3198 is 6

LCM of denominators i.e. for 818,522 is 213498.

Thus, GCF of Fractions is 6/213498.Finally, GCF of Fractions for 6618/818, 3198/522 is 6/213498.