Greatest Common Factor of 191/45, 469/44, 142/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 191/45, 469/44, 142/48

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 191/45,469/44,142/48

Given fractions are 191/45,469/44,142/48

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 191,469,142

Greatest Common Factor of Numerators i.e. GCF of 191,469,142 is 1 .

LCM of Denominators means LCM of 45,44,48 as per the given fractions.

LCM of 45,44,48 is 7920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 191,469,142

GCF of Fractions 191/45,469/44,142/48 is 1/7920

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

Greatest Common Factor of 191,469,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,469,142 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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 191,469,142 . The biggest common factor number is the GCF number.
So the greatest common factor 191,469,142 is 1.

Lets's calculate LCM of 45,44,48

2 45, 44, 48
2 45, 22, 24
3 45, 11, 12
15, 11, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 15 x 11 x 4 = 7920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7920

Therefore, the GCF of Fractions 191/45,469/44,142/48 is 1/7920

Least Common Multiple of 45,44,48 with GCF Formula

Least Common Multiple of 45,44,48 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 45,44,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,44,48) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(45,44,48) x common factors =1 x 12 = 12

LCM(45,44,48) = ( 45 × 44 × 48 ) / 12

LCM(45,44,48) = 95040 / 12

LCM(45,44,48) = 7920


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 191/45, 469/44, 142/48

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 191/45, 469/44, 142/48?

Answer: GCF of Numerators as per given numbers 191/45, 469/44, 142/48 is

GCF of Numerators i.e. for 191,469,142 is 1

LCM of denominators i.e. for 45,44,48 is 7920.

Thus, GCF of Fractions is 1/7920.Finally, GCF of Fractions for 191/45, 469/44, 142/48 is 1/7920.