How to Find GCF of 8336/101, 9402/3845?

GCF of 8336/101, 9402/3845

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 8336/101, 9402/3845 i.e 2/388345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8336/101, 9402/3845.

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 8336/101,9402/3845?

Given fractions are 8336/101,9402/3845

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 8336/101,9402/3845, numerators are 8336,9402

Denominators are 101,3845

The GCF of 8336,9402 is 2 .

LCM of 101,3845 is 388345.

The greatest common factor of 8336/101,9402/3845 = [GCF of 8336,9402]/[LCM of 101,3845]= 2/388345

Therefore, the GCF of 8336/101,9402/3845 is 2/388345.

Greatest Common Factor of 8336,9402

To find the highest common factor of 8336,9402, we have to find the factors of both numbers and list the highest common factor.

The factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

The factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402

The HCF of 8336,9402 is 2.

Lets's calculate GCF of 8336,9402

Greatest Common Factor (GCF) of 8336,9402 By Common Division

2	8336, 9402
	4168, 4701

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

Greatest Common Factor of 8336,9402 By Matching Biggest Common Factor Method

Now, list down the factors of 8336

1,2,4,8,16,521,1042,2084,4168,8336

Now, list down the factors of 9402

1,2,3,6,1567,3134,4701,9402

Greatest Common Factor

We found the factors 8336,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 8336,9402 is 2.

Lets's calculate LCM of 101,3845

Lowest Common Multiple of 101,3845 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 388345

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/388345

Therefore, the GCF of Fractions 8336/101,9402/3845 is 2/388345

Least Common Multiple of 101,3845 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 101,3845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,3845) = 1

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

GCF(101,3845) x common factors =1 x 1 = 1

LCM(101,3845) = ( 101 × 3845 ) / 1

LCM(101,3845) = 388345 / 1

LCM(101,3845) = 388345

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FAQs on GCF of Fractions of 8336/101, 9402/3845

1. What is the HCF of 8336,9402?

The HCF of 8336,9402 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 8336/101, 9402/3845?

Answer: GCF of Numerators as per given numbers 8336/101, 9402/3845 is

GCF of Numerators i.e. for 8336,9402 is 2

LCM of denominators i.e. for 101,3845 is 388345.

Thus, GCF of Fractions is 2/388345.Finally, GCF of Fractions for 8336/101, 9402/3845 is 2/388345.