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GCF of 3511/491, 5163/4669

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 3511/491, 5163/4669 i.e 1/2292479 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3511/491, 5163/4669.

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 3511/491,5163/4669?

Given fractions are 3511/491,5163/4669

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 3511/491,5163/4669, numerators are 3511,5163

Denominators are 491,4669

The GCF of 3511,5163 is 1 .

LCM of 491,4669 is 2292479.

The greatest common factor of 3511/491,5163/4669 = [GCF of 3511,5163]/[LCM of 491,4669]= 1/2292479

Therefore, the GCF of 3511/491,5163/4669 is 1/2292479.

Greatest Common Factor of 3511,5163

To find the highest common factor of 3511,5163, we have to find the factors of both numbers and list the highest common factor.

The factors of 3511 are 1, 3511

The factors of 5163 are 1, 3, 1721, 5163

The HCF of 3511,5163 is 1.

Lets's calculate GCF of 3511,5163

Greatest Common Factor (GCF) of 3511,5163 By Common Division

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

Greatest Common Factor of 3511,5163 By Matching Biggest Common Factor Method

Greatest Common Factor of 3511,5163 By Matching Biggest Common Factor Method

Now, list down the factors of 3511

:

1,3511

Now, list down the factors of 5163

:

1,3,1721,5163

Greatest Common Factor

We found the factors 3511,5163 . The biggest common factor number is the GCF number.
So the greatest common factor 3511,5163 is 1.

Lets's calculate LCM of 491,4669

Lowest Common Multiple of 491,4669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2292479

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2292479

Therefore, the GCF of Fractions 3511/491,5163/4669 is 1/2292479

Least Common Multiple of 491,4669 with GCF Formula

Least Common Multiple of 491,4669 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 491,4669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,4669) = 1

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

GCF(491,4669) x common factors =1 x 1 = 1

LCM(491,4669) = ( 491 × 4669 ) / 1

LCM(491,4669) = 2292479 / 1

LCM(491,4669) = 2292479


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FAQs on GCF of Fractions of 3511/491, 5163/4669

1. What is the HCF of 3511,5163?

The HCF of 3511,5163 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 3511/491, 5163/4669?

Answer: GCF of Numerators as per given numbers 3511/491, 5163/4669 is

GCF of Numerators i.e. for 3511,5163 is 1

LCM of denominators i.e. for 491,4669 is 2292479.

Thus, GCF of Fractions is 1/2292479.Finally, GCF of Fractions for 3511/491, 5163/4669 is 1/2292479.