How to Find GCF of 806/478, 308/638?

GCF of 806/478, 308/638

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 806/478, 308/638 i.e 2/152482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/478, 308/638.

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 806/478,308/638?

Given fractions are 806/478,308/638

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 806/478,308/638, numerators are 806,308

Denominators are 478,638

The GCF of 806,308 is 2 .

LCM of 478,638 is 152482.

The greatest common factor of 806/478,308/638 = [GCF of 806,308]/[LCM of 478,638]= 2/152482

Therefore, the GCF of 806/478,308/638 is 2/152482.

Greatest Common Factor of 806,308

To find the highest common factor of 806,308, we have to find the factors of both numbers and list the highest common factor.

The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The HCF of 806,308 is 2.

Lets's calculate GCF of 806,308

Greatest Common Factor (GCF) of 806,308 By Common Division

2	806, 308
	403, 154

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

Greatest Common Factor of 806,308 By Matching Biggest Common Factor Method

Now, list down the factors of 806

1,2,13,26,31,62,403,806

Now, list down the factors of 308

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 806,308 . The biggest common factor number is the GCF number.
So the greatest common factor 806,308 is 2.

Lets's calculate LCM of 478,638

Lowest Common Multiple of 478,638 using Common Division

2	478, 638
	239, 319

∴ So the LCM of the given numbers is 2 x 239 x 319 = 152482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/152482

Therefore, the GCF of Fractions 806/478,308/638 is 2/152482

Least Common Multiple of 478,638 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 478,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,638) = 2

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

GCF(478,638) x common factors =2 x 1 = 2

LCM(478,638) = ( 478 × 638 ) / 2

LCM(478,638) = 304964 / 2

LCM(478,638) = 152482

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FAQs on GCF of Fractions of 806/478, 308/638

1. What is the HCF of 806,308?

The HCF of 806,308 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 806/478, 308/638?

Answer: GCF of Numerators as per given numbers 806/478, 308/638 is

GCF of Numerators i.e. for 806,308 is 2

LCM of denominators i.e. for 478,638 is 152482.

Thus, GCF of Fractions is 2/152482.Finally, GCF of Fractions for 806/478, 308/638 is 2/152482.