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GCF of 494/466, 327/820

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 494/466, 327/820 i.e 1/191060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/466, 327/820.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 494/466,327/820?

Given fractions are 494/466,327/820

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 494/466,327/820, numerators are 494,327

Denominators are 466,820

The GCF of 494,327 is 1 .

LCM of 466,820 is 191060.

The greatest common factor of 494/466,327/820 = [GCF of 494,327]/[LCM of 466,820]= 1/191060

Therefore, the GCF of 494/466,327/820 is 1/191060.

Greatest Common Factor of 494,327

To find the highest common factor of 494,327, we have to find the factors of both numbers and list the highest common factor.

The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494

The factors of 327 are 1, 3, 109, 327

The HCF of 494,327 is 1.

Lets's calculate GCF of 494,327

Greatest Common Factor (GCF) of 494,327 By Common Division

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

Greatest Common Factor of 494,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 494,327 By Matching Biggest Common Factor Method

Now, list down the factors of 494

:

1,2,13,19,26,38,247,494

Now, list down the factors of 327

:

1,3,109,327

Greatest Common Factor

We found the factors 494,327 . The biggest common factor number is the GCF number.
So the greatest common factor 494,327 is 1.

Lets's calculate LCM of 466,820

Lowest Common Multiple of 466,820 using Common Division

2 466, 820
233, 410

∴ So the LCM of the given numbers is 2 x 233 x 410 = 191060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191060

Therefore, the GCF of Fractions 494/466,327/820 is 1/191060

Least Common Multiple of 466,820 with GCF Formula

Least Common Multiple of 466,820 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 466,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,820) = 2

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

GCF(466,820) x common factors =2 x 1 = 2

LCM(466,820) = ( 466 × 820 ) / 2

LCM(466,820) = 382120 / 2

LCM(466,820) = 191060


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FAQs on GCF of Fractions of 494/466, 327/820

1. What is the HCF of 494,327?

The HCF of 494,327 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 494/466, 327/820?

Answer: GCF of Numerators as per given numbers 494/466, 327/820 is

GCF of Numerators i.e. for 494,327 is 1

LCM of denominators i.e. for 466,820 is 191060.

Thus, GCF of Fractions is 1/191060.Finally, GCF of Fractions for 494/466, 327/820 is 1/191060.