How to Find GCF of 8191/490, 4741/2354?

GCF of 8191/490, 4741/2354

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 8191/490, 4741/2354 i.e 1/576730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8191/490, 4741/2354.

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 8191/490,4741/2354?

Given fractions are 8191/490,4741/2354

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 8191/490,4741/2354, numerators are 8191,4741

Denominators are 490,2354

The GCF of 8191,4741 is 1 .

LCM of 490,2354 is 576730.

The greatest common factor of 8191/490,4741/2354 = [GCF of 8191,4741]/[LCM of 490,2354]= 1/576730

Therefore, the GCF of 8191/490,4741/2354 is 1/576730.

Greatest Common Factor of 8191,4741

To find the highest common factor of 8191,4741, we have to find the factors of both numbers and list the highest common factor.

The factors of 8191 are 1, 8191

The factors of 4741 are 1, 11, 431, 4741

The HCF of 8191,4741 is 1.

Lets's calculate GCF of 8191,4741

Greatest Common Factor (GCF) of 8191,4741 By Common Division

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

Greatest Common Factor of 8191,4741 By Matching Biggest Common Factor Method

Now, list down the factors of 8191

1,8191

Now, list down the factors of 4741

1,11,431,4741

Greatest Common Factor

We found the factors 8191,4741 . The biggest common factor number is the GCF number.
So the greatest common factor 8191,4741 is 1.

Lets's calculate LCM of 490,2354

Lowest Common Multiple of 490,2354 using Common Division

2	490, 2354
	245, 1177

∴ So the LCM of the given numbers is 2 x 245 x 1177 = 576730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576730

Therefore, the GCF of Fractions 8191/490,4741/2354 is 1/576730

Least Common Multiple of 490,2354 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 490,2354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,2354) = 2

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

GCF(490,2354) x common factors =2 x 1 = 2

LCM(490,2354) = ( 490 × 2354 ) / 2

LCM(490,2354) = 1153460 / 2

LCM(490,2354) = 576730

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FAQs on GCF of Fractions of 8191/490, 4741/2354

1. What is the HCF of 8191,4741?

The HCF of 8191,4741 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 8191/490, 4741/2354?

Answer: GCF of Numerators as per given numbers 8191/490, 4741/2354 is

GCF of Numerators i.e. for 8191,4741 is 1

LCM of denominators i.e. for 490,2354 is 576730.

Thus, GCF of Fractions is 1/576730.Finally, GCF of Fractions for 8191/490, 4741/2354 is 1/576730.