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GCF of 5165/226, 1648/9191

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 5165/226, 1648/9191 i.e 1/2077166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5165/226, 1648/9191.

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 5165/226,1648/9191?

Given fractions are 5165/226,1648/9191

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 5165/226,1648/9191, numerators are 5165,1648

Denominators are 226,9191

The GCF of 5165,1648 is 1 .

LCM of 226,9191 is 2077166.

The greatest common factor of 5165/226,1648/9191 = [GCF of 5165,1648]/[LCM of 226,9191]= 1/2077166

Therefore, the GCF of 5165/226,1648/9191 is 1/2077166.

Greatest Common Factor of 5165,1648

To find the highest common factor of 5165,1648, we have to find the factors of both numbers and list the highest common factor.

The factors of 5165 are 1, 5, 1033, 5165

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

The HCF of 5165,1648 is 1.

Lets's calculate GCF of 5165,1648

Greatest Common Factor (GCF) of 5165,1648 By Common Division

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

Greatest Common Factor of 5165,1648 By Matching Biggest Common Factor Method

Greatest Common Factor of 5165,1648 By Matching Biggest Common Factor Method

Now, list down the factors of 5165

:

1,5,1033,5165

Now, list down the factors of 1648

:

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 5165,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 5165,1648 is 1.


Lets's calculate LCM of 226,9191

Lowest Common Multiple of 226,9191 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2077166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2077166

Therefore, the GCF of Fractions 5165/226,1648/9191 is 1/2077166

Least Common Multiple of 226,9191 with GCF Formula

Least Common Multiple of 226,9191 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 226,9191 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,9191) = 1

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

GCF(226,9191) x common factors =1 x 1 = 1

LCM(226,9191) = ( 226 × 9191 ) / 1

LCM(226,9191) = 2077166 / 1

LCM(226,9191) = 2077166


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5165/226, 1648/9191

1. What is the HCF of 5165,1648?

The HCF of 5165,1648 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 5165/226, 1648/9191?

Answer: GCF of Numerators as per given numbers 5165/226, 1648/9191 is

GCF of Numerators i.e. for 5165,1648 is 1

LCM of denominators i.e. for 226,9191 is 2077166.

Thus, GCF of Fractions is 1/2077166.Finally, GCF of Fractions for 5165/226, 1648/9191 is 1/2077166.