How to Find GCF of 394/104, 730/816?

GCF of 394/104, 730/816

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 394/104, 730/816 i.e 2/10608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/104, 730/816.

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 394/104,730/816?

Given fractions are 394/104,730/816

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 394/104,730/816, numerators are 394,730

Denominators are 104,816

The GCF of 394,730 is 2 .

LCM of 104,816 is 10608.

The greatest common factor of 394/104,730/816 = [GCF of 394,730]/[LCM of 104,816]= 2/10608

Therefore, the GCF of 394/104,730/816 is 2/10608.

Greatest Common Factor of 394,730

To find the highest common factor of 394,730, we have to find the factors of both numbers and list the highest common factor.

The factors of 394 are 1, 2, 197, 394

The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730

The HCF of 394,730 is 2.

Lets's calculate GCF of 394,730

Greatest Common Factor (GCF) of 394,730 By Common Division

2	394, 730
	197, 365

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

Greatest Common Factor of 394,730 By Matching Biggest Common Factor Method

Now, list down the factors of 394

1,2,197,394

Now, list down the factors of 730

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 394,730 . The biggest common factor number is the GCF number.
So the greatest common factor 394,730 is 2.

Lets's calculate LCM of 104,816

Lowest Common Multiple of 104,816 using Common Division

2	104, 816
2	52, 408
2	26, 204
	13, 102

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 102 = 10608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10608

Therefore, the GCF of Fractions 394/104,730/816 is 2/10608

Least Common Multiple of 104,816 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 104,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(104,816) = 8

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

GCF(104,816) x common factors =8 x 1 = 8

LCM(104,816) = ( 104 × 816 ) / 8

LCM(104,816) = 84864 / 8

LCM(104,816) = 10608

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FAQs on GCF of Fractions of 394/104, 730/816

1. What is the HCF of 394,730?

The HCF of 394,730 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 394/104, 730/816?

Answer: GCF of Numerators as per given numbers 394/104, 730/816 is

GCF of Numerators i.e. for 394,730 is 2

LCM of denominators i.e. for 104,816 is 10608.

Thus, GCF of Fractions is 2/10608.Finally, GCF of Fractions for 394/104, 730/816 is 2/10608.