Greatest Common Factor of 288/43, 227/44, 493/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 288/43, 227/44, 493/213

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 288/43,227/44,493/213

Given fractions are 288/43,227/44,493/213

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 288,227,493

Greatest Common Factor of Numerators i.e. GCF of 288,227,493 is 1 .

LCM of Denominators means LCM of 43,44,213 as per the given fractions.

LCM of 43,44,213 is 402996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 288,227,493

GCF of Fractions 288/43,227/44,493/213 is 1/402996

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

Greatest Common Factor of 288,227,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,227,493 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 227

List of positive integer factors of 227 that divides 227 without a remainder.

1,227

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 288,227,493 . The biggest common factor number is the GCF number.
So the greatest common factor 288,227,493 is 1.

Lets's calculate LCM of 43,44,213

Given numbers has no common factors except 1. So, there LCM is their product i.e 402996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/402996

Therefore, the GCF of Fractions 288/43,227/44,493/213 is 1/402996

Least Common Multiple of 43,44,213 with GCF Formula

Least Common Multiple of 43,44,213 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 43,44,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,44,213) = 1

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

GCF(43,44,213) x common factors =1 x 1 = 1

LCM(43,44,213) = ( 43 × 44 × 213 ) / 1

LCM(43,44,213) = 402996 / 1

LCM(43,44,213) = 402996


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 288/43, 227/44, 493/213

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 288/43, 227/44, 493/213?

Answer: GCF of Numerators as per given numbers 288/43, 227/44, 493/213 is

GCF of Numerators i.e. for 288,227,493 is 1

LCM of denominators i.e. for 43,44,213 is 402996.

Thus, GCF of Fractions is 1/402996.Finally, GCF of Fractions for 288/43, 227/44, 493/213 is 1/402996.