How to Find GCF of 8014/331, 5438/8726?

GCF of 8014/331, 5438/8726

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 8014/331, 5438/8726 i.e 2/2888306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8014/331, 5438/8726.

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 8014/331,5438/8726?

Given fractions are 8014/331,5438/8726

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 8014/331,5438/8726, numerators are 8014,5438

Denominators are 331,8726

The GCF of 8014,5438 is 2 .

LCM of 331,8726 is 2888306.

The greatest common factor of 8014/331,5438/8726 = [GCF of 8014,5438]/[LCM of 331,8726]= 2/2888306

Therefore, the GCF of 8014/331,5438/8726 is 2/2888306.

Greatest Common Factor of 8014,5438

To find the highest common factor of 8014,5438, we have to find the factors of both numbers and list the highest common factor.

The factors of 8014 are 1, 2, 4007, 8014

The factors of 5438 are 1, 2, 2719, 5438

The HCF of 8014,5438 is 2.

Lets's calculate GCF of 8014,5438

Greatest Common Factor (GCF) of 8014,5438 By Common Division

2	8014, 5438
	4007, 2719

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

Greatest Common Factor of 8014,5438 By Matching Biggest Common Factor Method

Now, list down the factors of 8014

1,2,4007,8014

Now, list down the factors of 5438

1,2,2719,5438

Greatest Common Factor

We found the factors 8014,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 8014,5438 is 2.

Lets's calculate LCM of 331,8726

Lowest Common Multiple of 331,8726 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2888306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2888306

Therefore, the GCF of Fractions 8014/331,5438/8726 is 2/2888306

Least Common Multiple of 331,8726 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 331,8726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,8726) = 1

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

GCF(331,8726) x common factors =1 x 1 = 1

LCM(331,8726) = ( 331 × 8726 ) / 1

LCM(331,8726) = 2888306 / 1

LCM(331,8726) = 2888306

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FAQs on GCF of Fractions of 8014/331, 5438/8726

1. What is the HCF of 8014,5438?

The HCF of 8014,5438 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 8014/331, 5438/8726?

Answer: GCF of Numerators as per given numbers 8014/331, 5438/8726 is

GCF of Numerators i.e. for 8014,5438 is 2

LCM of denominators i.e. for 331,8726 is 2888306.

Thus, GCF of Fractions is 2/2888306.Finally, GCF of Fractions for 8014/331, 5438/8726 is 2/2888306.