Greatest Common Factor of 191/63, 404/86, 110/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 191/63, 404/86, 110/817

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 191/63,404/86,110/817

Given fractions are 191/63,404/86,110/817

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 191,404,110

Greatest Common Factor of Numerators i.e. GCF of 191,404,110 is 1 .

LCM of Denominators means LCM of 63,86,817 as per the given fractions.

LCM of 63,86,817 is 102942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 191,404,110

GCF of Fractions 191/63,404/86,110/817 is 1/102942

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

Greatest Common Factor of 191,404,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,404,110 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 191,404,110 . The biggest common factor number is the GCF number.
So the greatest common factor 191,404,110 is 1.


Lets's calculate LCM of 63,86,817

43 63, 86, 817
63, 2, 19

∴ So the LCM of the given numbers is 43 x 63 x 2 x 19 = 102942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102942

Therefore, the GCF of Fractions 191/63,404/86,110/817 is 1/102942

Least Common Multiple of 63,86,817 with GCF Formula

Least Common Multiple of 63,86,817 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 63,86,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,86,817) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(63,86,817) x common factors =1 x 43 = 43

LCM(63,86,817) = ( 63 × 86 × 817 ) / 43

LCM(63,86,817) = 4426506 / 43

LCM(63,86,817) = 102942


GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 191/63, 404/86, 110/817

1. 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.

2. What is the GCF of Fractions for 191/63, 404/86, 110/817?

Answer: GCF of Numerators as per given numbers 191/63, 404/86, 110/817 is

GCF of Numerators i.e. for 191,404,110 is 1

LCM of denominators i.e. for 63,86,817 is 102942.

Thus, GCF of Fractions is 1/102942.Finally, GCF of Fractions for 191/63, 404/86, 110/817 is 1/102942.