How to Find GCF of 491/20, 199/69, 796/38?

GCF of 491/20, 199/69, 796/38

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 491/20, 199/69, 796/38 i.e 1/26220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 491/20, 199/69, 796/38.

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 491/20,199/69,796/38?

Given fractions are 491/20,199/69,796/38

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 491/20,199/69,796/38, numerators are 491,199,796

Denominators are 20,69,38

The GCF of 491,199,796 is 1 .

LCM of 20,69,38 is 26220.

The greatest common factor of 491/20,199/69,796/38 = [GCF of 491,199,796]/[LCM of 20,69,38]= 1/26220

Therefore, the GCF of 491/20,199/69,796/38 is 1/26220.

Greatest Common Factor of 491,199,796

To find the highest common factor of 491,199,796, we have to find the factors of both numbers and list the highest common factor.

The factors of 491 are 1, 491

The factors of 199 are 1, 199

The factors of 796 are 1, 2, 4, 199, 398, 796

The HCF of 491,199,796 is 1.

Lets's calculate GCF of 491,199,796

Greatest Common Factor (GCF) of 491,199,796 By Common Division

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

Greatest Common Factor of 491,199,796 By Matching Biggest Common Factor Method

Now, list down the factors of 491

1,491

Now, list down the factors of 199

1,199

Now, list down the factors of 796

1,2,4,199,398,796

Greatest Common Factor

We found the factors 491,199,796 . The biggest common factor number is the GCF number.
So the greatest common factor 491,199,796 is 1.

Lets's calculate LCM of 20,69,38

Lowest Common Multiple of 20,69,38 using Common Division

2	20, 69, 38
	10, 69, 19

∴ So the LCM of the given numbers is 2 x 10 x 69 x 19 = 26220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26220

Therefore, the GCF of Fractions 491/20,199/69,796/38 is 1/26220

Least Common Multiple of 20,69,38 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 20,69,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,69,38) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,69,38) x common factors =1 x 2 = 2

LCM(20,69,38) = ( 20 × 69 × 38 ) / 2

LCM(20,69,38) = 52440 / 2

LCM(20,69,38) = 26220

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FAQs on GCF of Fractions of 491/20, 199/69, 796/38

1. What is the HCF of 491,199,796?

The HCF of 491,199,796 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 491/20, 199/69, 796/38?

Answer: GCF of Numerators as per given numbers 491/20, 199/69, 796/38 is

GCF of Numerators i.e. for 491,199,796 is 1

LCM of denominators i.e. for 20,69,38 is 26220.

Thus, GCF of Fractions is 1/26220.Finally, GCF of Fractions for 491/20, 199/69, 796/38 is 1/26220.