Greatest Common Factor of 198/45, 792/90, 282/104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 198/45, 792/90, 282/104

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 198/45,792/90,282/104

Given fractions are 198/45,792/90,282/104

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 198,792,282

Greatest Common Factor of Numerators i.e. GCF of 198,792,282 is 6 .

LCM of Denominators means LCM of 45,90,104 as per the given fractions.

LCM of 45,90,104 is 4680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 198,792,282

GCF of Fractions 198/45,792/90,282/104 is 6/4680

2 198, 792, 282
3 99, 396, 141
33, 132, 47

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

Greatest Common Factor of 198,792,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 198,792,282 By Matching Biggest Common Factor Method

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 198,792,282 . The biggest common factor number is the GCF number.
So the greatest common factor 198,792,282 is 6.

Lets's calculate LCM of 45,90,104

2 45, 90, 104
3 45, 45, 52
3 15, 15, 52
5 5, 5, 52
1, 1, 52

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 1 x 52 = 4680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4680

Therefore, the GCF of Fractions 198/45,792/90,282/104 is 6/4680

Least Common Multiple of 45,90,104 with GCF Formula

Least Common Multiple of 45,90,104 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 45,90,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,90,104) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(45,90,104) x common factors =1 x 90 = 90

LCM(45,90,104) = ( 45 × 90 × 104 ) / 90

LCM(45,90,104) = 421200 / 90

LCM(45,90,104) = 4680


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 198/45, 792/90, 282/104

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 198/45, 792/90, 282/104?

Answer: GCF of Numerators as per given numbers 198/45, 792/90, 282/104 is

GCF of Numerators i.e. for 198,792,282 is 6

LCM of denominators i.e. for 45,90,104 is 4680.

Thus, GCF of Fractions is 6/4680.Finally, GCF of Fractions for 198/45, 792/90, 282/104 is 6/4680.