How to Find GCF of 9463/198, 3866/4836?

GCF of 9463/198, 3866/4836

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 9463/198, 3866/4836 i.e 1/159588 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9463/198, 3866/4836.

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 9463/198,3866/4836?

Given fractions are 9463/198,3866/4836

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 9463/198,3866/4836, numerators are 9463,3866

Denominators are 198,4836

The GCF of 9463,3866 is 1 .

LCM of 198,4836 is 159588.

The greatest common factor of 9463/198,3866/4836 = [GCF of 9463,3866]/[LCM of 198,4836]= 1/159588

Therefore, the GCF of 9463/198,3866/4836 is 1/159588.

Greatest Common Factor of 9463,3866

To find the highest common factor of 9463,3866, we have to find the factors of both numbers and list the highest common factor.

The factors of 9463 are 1, 9463

The factors of 3866 are 1, 2, 1933, 3866

The HCF of 9463,3866 is 1.

Lets's calculate GCF of 9463,3866

Greatest Common Factor (GCF) of 9463,3866 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9463,3866 By Matching Biggest Common Factor Method

Now, list down the factors of 9463

1,9463

Now, list down the factors of 3866

1,2,1933,3866

Greatest Common Factor

We found the factors 9463,3866 . The biggest common factor number is the GCF number.
So the greatest common factor 9463,3866 is 1.

Lets's calculate LCM of 198,4836

Lowest Common Multiple of 198,4836 using Common Division

2	198, 4836
3	99, 2418
	33, 806

∴ So the LCM of the given numbers is 2 x 3 x 33 x 806 = 159588

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/159588

Therefore, the GCF of Fractions 9463/198,3866/4836 is 1/159588

Least Common Multiple of 198,4836 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 198,4836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,4836) = 6

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

GCF(198,4836) x common factors =6 x 1 = 6

LCM(198,4836) = ( 198 × 4836 ) / 6

LCM(198,4836) = 957528 / 6

LCM(198,4836) = 159588

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FAQs on GCF of Fractions of 9463/198, 3866/4836

1. What is the HCF of 9463,3866?

The HCF of 9463,3866 is 1

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 9463/198, 3866/4836?

Answer: GCF of Numerators as per given numbers 9463/198, 3866/4836 is

GCF of Numerators i.e. for 9463,3866 is 1

LCM of denominators i.e. for 198,4836 is 159588.

Thus, GCF of Fractions is 1/159588.Finally, GCF of Fractions for 9463/198, 3866/4836 is 1/159588.