How to Find GCF of 812/329, 476/802?

GCF of 812/329, 476/802

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 812/329, 476/802 i.e 28/263858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/329, 476/802.

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 812/329,476/802?

Given fractions are 812/329,476/802

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 812/329,476/802, numerators are 812,476

Denominators are 329,802

The GCF of 812,476 is 28 .

LCM of 329,802 is 263858.

The greatest common factor of 812/329,476/802 = [GCF of 812,476]/[LCM of 329,802]= 28/263858

Therefore, the GCF of 812/329,476/802 is 28/263858.

Greatest Common Factor of 812,476

To find the highest common factor of 812,476, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

The HCF of 812,476 is 28.

Lets's calculate GCF of 812,476

Greatest Common Factor (GCF) of 812,476 By Common Division

2	812, 476
2	406, 238
7	203, 119
	29, 17

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 812,476 By Matching Biggest Common Factor Method

Now, list down the factors of 812

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 476

1,2,4,7,14,17,28,34,68,119,238,476

Greatest Common Factor

We found the factors 812,476 . The biggest common factor number is the GCF number.
So the greatest common factor 812,476 is 28.

Lets's calculate LCM of 329,802

Lowest Common Multiple of 329,802 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 263858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/263858

Therefore, the GCF of Fractions 812/329,476/802 is 28/263858

Least Common Multiple of 329,802 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 329,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,802) = 1

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

GCF(329,802) x common factors =1 x 1 = 1

LCM(329,802) = ( 329 × 802 ) / 1

LCM(329,802) = 263858 / 1

LCM(329,802) = 263858

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FAQs on GCF of Fractions of 812/329, 476/802

1. What is the HCF of 812,476?

The HCF of 812,476 is 28

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 812/329, 476/802?

Answer: GCF of Numerators as per given numbers 812/329, 476/802 is

GCF of Numerators i.e. for 812,476 is 28

LCM of denominators i.e. for 329,802 is 263858.

Thus, GCF of Fractions is 28/263858.Finally, GCF of Fractions for 812/329, 476/802 is 28/263858.