How to Find GCF of 9491/298, 4122/5106?

GCF of 9491/298, 4122/5106

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 9491/298, 4122/5106 i.e 1/760794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9491/298, 4122/5106.

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 9491/298,4122/5106?

Given fractions are 9491/298,4122/5106

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 9491/298,4122/5106, numerators are 9491,4122

Denominators are 298,5106

The GCF of 9491,4122 is 1 .

LCM of 298,5106 is 760794.

The greatest common factor of 9491/298,4122/5106 = [GCF of 9491,4122]/[LCM of 298,5106]= 1/760794

Therefore, the GCF of 9491/298,4122/5106 is 1/760794.

Greatest Common Factor of 9491,4122

To find the highest common factor of 9491,4122, we have to find the factors of both numbers and list the highest common factor.

The factors of 9491 are 1, 9491

The factors of 4122 are 1, 2, 3, 6, 9, 18, 229, 458, 687, 1374, 2061, 4122

The HCF of 9491,4122 is 1.

Lets's calculate GCF of 9491,4122

Greatest Common Factor (GCF) of 9491,4122 By Common Division

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

Greatest Common Factor of 9491,4122 By Matching Biggest Common Factor Method

Now, list down the factors of 9491

1,9491

Now, list down the factors of 4122

1,2,3,6,9,18,229,458,687,1374,2061,4122

Greatest Common Factor

We found the factors 9491,4122 . The biggest common factor number is the GCF number.
So the greatest common factor 9491,4122 is 1.

Lets's calculate LCM of 298,5106

Lowest Common Multiple of 298,5106 using Common Division

2	298, 5106
	149, 2553

∴ So the LCM of the given numbers is 2 x 149 x 2553 = 760794

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760794

Therefore, the GCF of Fractions 9491/298,4122/5106 is 1/760794

Least Common Multiple of 298,5106 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 298,5106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,5106) = 2

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

GCF(298,5106) x common factors =2 x 1 = 2

LCM(298,5106) = ( 298 × 5106 ) / 2

LCM(298,5106) = 1521588 / 2

LCM(298,5106) = 760794

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FAQs on GCF of Fractions of 9491/298, 4122/5106

1. What is the HCF of 9491,4122?

The HCF of 9491,4122 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 9491/298, 4122/5106?

Answer: GCF of Numerators as per given numbers 9491/298, 4122/5106 is

GCF of Numerators i.e. for 9491,4122 is 1

LCM of denominators i.e. for 298,5106 is 760794.

Thus, GCF of Fractions is 1/760794.Finally, GCF of Fractions for 9491/298, 4122/5106 is 1/760794.