How to Find GCF of 9066/198, 2316/6016?

GCF of 9066/198, 2316/6016

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9066/198, 2316/6016 i.e 6/595584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9066/198, 2316/6016.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9066/198,2316/6016?

Given fractions are 9066/198,2316/6016

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9066/198,2316/6016, numerators are 9066,2316

Denominators are 198,6016

The GCF of 9066,2316 is 6 .

LCM of 198,6016 is 595584.

The greatest common factor of 9066/198,2316/6016 = [GCF of 9066,2316]/[LCM of 198,6016]= 6/595584

Therefore, the GCF of 9066/198,2316/6016 is 6/595584.

Greatest Common Factor of 9066,2316

To find the highest common factor of 9066,2316, we have to find the factors of both numbers and list the highest common factor.

The factors of 9066 are 1, 2, 3, 6, 1511, 3022, 4533, 9066

The factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316

The HCF of 9066,2316 is 6.

Lets's calculate GCF of 9066,2316

Greatest Common Factor (GCF) of 9066,2316 By Common Division

2	9066, 2316
3	4533, 1158
	1511, 386

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

Greatest Common Factor of 9066,2316 By Matching Biggest Common Factor Method

Now, list down the factors of 9066

1,2,3,6,1511,3022,4533,9066

Now, list down the factors of 2316

1,2,3,4,6,12,193,386,579,772,1158,2316

Greatest Common Factor

We found the factors 9066,2316 . The biggest common factor number is the GCF number.
So the greatest common factor 9066,2316 is 6.

Lets's calculate LCM of 198,6016

Lowest Common Multiple of 198,6016 using Common Division

2	198, 6016
	99, 3008

∴ So the LCM of the given numbers is 2 x 99 x 3008 = 595584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/595584

Therefore, the GCF of Fractions 9066/198,2316/6016 is 6/595584

Least Common Multiple of 198,6016 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 198,6016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,6016) = 2

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

GCF(198,6016) x common factors =2 x 1 = 2

LCM(198,6016) = ( 198 × 6016 ) / 2

LCM(198,6016) = 1191168 / 2

LCM(198,6016) = 595584

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9066/198, 2316/6016

1. What is the HCF of 9066,2316?

The HCF of 9066,2316 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 9066/198, 2316/6016?

Answer: GCF of Numerators as per given numbers 9066/198, 2316/6016 is

GCF of Numerators i.e. for 9066,2316 is 6

LCM of denominators i.e. for 198,6016 is 595584.

Thus, GCF of Fractions is 6/595584.Finally, GCF of Fractions for 9066/198, 2316/6016 is 6/595584.