How to Find GCF of 9333/348, 8789/1244?

GCF of 9333/348, 8789/1244

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 9333/348, 8789/1244 i.e 17/108228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9333/348, 8789/1244.

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 9333/348,8789/1244?

Given fractions are 9333/348,8789/1244

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 9333/348,8789/1244, numerators are 9333,8789

Denominators are 348,1244

The GCF of 9333,8789 is 17 .

LCM of 348,1244 is 108228.

The greatest common factor of 9333/348,8789/1244 = [GCF of 9333,8789]/[LCM of 348,1244]= 17/108228

Therefore, the GCF of 9333/348,8789/1244 is 17/108228.

Greatest Common Factor of 9333,8789

To find the highest common factor of 9333,8789, we have to find the factors of both numbers and list the highest common factor.

The factors of 9333 are 1, 3, 9, 17, 51, 61, 153, 183, 549, 1037, 3111, 9333

The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789

The HCF of 9333,8789 is 17.

Lets's calculate GCF of 9333,8789

Greatest Common Factor (GCF) of 9333,8789 By Common Division

17	9333, 8789
	549, 517

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 9333,8789 By Matching Biggest Common Factor Method

Now, list down the factors of 9333

1,3,9,17,51,61,153,183,549,1037,3111,9333

Now, list down the factors of 8789

1,11,17,47,187,517,799,8789

Greatest Common Factor

We found the factors 9333,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 9333,8789 is 17.

Lets's calculate LCM of 348,1244

Lowest Common Multiple of 348,1244 using Common Division

2	348, 1244
2	174, 622
	87, 311

∴ So the LCM of the given numbers is 2 x 2 x 87 x 311 = 108228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/108228

Therefore, the GCF of Fractions 9333/348,8789/1244 is 17/108228

Least Common Multiple of 348,1244 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 348,1244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,1244) = 4

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

GCF(348,1244) x common factors =4 x 1 = 4

LCM(348,1244) = ( 348 × 1244 ) / 4

LCM(348,1244) = 432912 / 4

LCM(348,1244) = 108228

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FAQs on GCF of Fractions of 9333/348, 8789/1244

1. What is the HCF of 9333,8789?

The HCF of 9333,8789 is 17

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 9333/348, 8789/1244?

Answer: GCF of Numerators as per given numbers 9333/348, 8789/1244 is

GCF of Numerators i.e. for 9333,8789 is 17

LCM of denominators i.e. for 348,1244 is 108228.

Thus, GCF of Fractions is 17/108228.Finally, GCF of Fractions for 9333/348, 8789/1244 is 17/108228.