How to Find GCF of 8104/338, 5539/3746?

GCF of 8104/338, 5539/3746

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 8104/338, 5539/3746 i.e 1/633074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8104/338, 5539/3746.

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 8104/338,5539/3746?

Given fractions are 8104/338,5539/3746

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 8104/338,5539/3746, numerators are 8104,5539

Denominators are 338,3746

The GCF of 8104,5539 is 1 .

LCM of 338,3746 is 633074.

The greatest common factor of 8104/338,5539/3746 = [GCF of 8104,5539]/[LCM of 338,3746]= 1/633074

Therefore, the GCF of 8104/338,5539/3746 is 1/633074.

Greatest Common Factor of 8104,5539

To find the highest common factor of 8104,5539, we have to find the factors of both numbers and list the highest common factor.

The factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104

The factors of 5539 are 1, 29, 191, 5539

The HCF of 8104,5539 is 1.

Lets's calculate GCF of 8104,5539

Greatest Common Factor (GCF) of 8104,5539 By Common Division

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

Greatest Common Factor of 8104,5539 By Matching Biggest Common Factor Method

Now, list down the factors of 8104

1,2,4,8,1013,2026,4052,8104

Now, list down the factors of 5539

1,29,191,5539

Greatest Common Factor

We found the factors 8104,5539 . The biggest common factor number is the GCF number.
So the greatest common factor 8104,5539 is 1.

Lets's calculate LCM of 338,3746

Lowest Common Multiple of 338,3746 using Common Division

2	338, 3746
	169, 1873

∴ So the LCM of the given numbers is 2 x 169 x 1873 = 633074

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/633074

Therefore, the GCF of Fractions 8104/338,5539/3746 is 1/633074

Least Common Multiple of 338,3746 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 338,3746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(338,3746) = 2

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

GCF(338,3746) x common factors =2 x 1 = 2

LCM(338,3746) = ( 338 × 3746 ) / 2

LCM(338,3746) = 1266148 / 2

LCM(338,3746) = 633074

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FAQs on GCF of Fractions of 8104/338, 5539/3746

1. What is the HCF of 8104,5539?

The HCF of 8104,5539 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 8104/338, 5539/3746?

Answer: GCF of Numerators as per given numbers 8104/338, 5539/3746 is

GCF of Numerators i.e. for 8104,5539 is 1

LCM of denominators i.e. for 338,3746 is 633074.

Thus, GCF of Fractions is 1/633074.Finally, GCF of Fractions for 8104/338, 5539/3746 is 1/633074.