How to Find GCF of 9334/247, 3314/5384?

GCF of 9334/247, 3314/5384

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 9334/247, 3314/5384 i.e 2/1329848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9334/247, 3314/5384.

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 9334/247,3314/5384?

Given fractions are 9334/247,3314/5384

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 9334/247,3314/5384, numerators are 9334,3314

Denominators are 247,5384

The GCF of 9334,3314 is 2 .

LCM of 247,5384 is 1329848.

The greatest common factor of 9334/247,3314/5384 = [GCF of 9334,3314]/[LCM of 247,5384]= 2/1329848

Therefore, the GCF of 9334/247,3314/5384 is 2/1329848.

Greatest Common Factor of 9334,3314

To find the highest common factor of 9334,3314, we have to find the factors of both numbers and list the highest common factor.

The factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334

The factors of 3314 are 1, 2, 1657, 3314

The HCF of 9334,3314 is 2.

Lets's calculate GCF of 9334,3314

Greatest Common Factor (GCF) of 9334,3314 By Common Division

2	9334, 3314
	4667, 1657

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9334,3314 By Matching Biggest Common Factor Method

Now, list down the factors of 9334

1,2,13,26,359,718,4667,9334

Now, list down the factors of 3314

1,2,1657,3314

Greatest Common Factor

We found the factors 9334,3314 . The biggest common factor number is the GCF number.
So the greatest common factor 9334,3314 is 2.

Lets's calculate LCM of 247,5384

Lowest Common Multiple of 247,5384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1329848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1329848

Therefore, the GCF of Fractions 9334/247,3314/5384 is 2/1329848

Least Common Multiple of 247,5384 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 247,5384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,5384) = 1

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

GCF(247,5384) x common factors =1 x 1 = 1

LCM(247,5384) = ( 247 × 5384 ) / 1

LCM(247,5384) = 1329848 / 1

LCM(247,5384) = 1329848

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FAQs on GCF of Fractions of 9334/247, 3314/5384

1. What is the HCF of 9334,3314?

The HCF of 9334,3314 is 2

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 9334/247, 3314/5384?

Answer: GCF of Numerators as per given numbers 9334/247, 3314/5384 is

GCF of Numerators i.e. for 9334,3314 is 2

LCM of denominators i.e. for 247,5384 is 1329848.

Thus, GCF of Fractions is 2/1329848.Finally, GCF of Fractions for 9334/247, 3314/5384 is 2/1329848.