Greatest Common Factor of 44/71, 47/99, 412/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 44/71, 47/99, 412/288

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 44/71,47/99,412/288

Given fractions are 44/71,47/99,412/288

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 44,47,412

Greatest Common Factor of Numerators i.e. GCF of 44,47,412 is 1 .

LCM of Denominators means LCM of 71,99,288 as per the given fractions.

LCM of 71,99,288 is 224928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 44,47,412

GCF of Fractions 44/71,47/99,412/288 is 1/224928

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

Greatest Common Factor of 44,47,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,47,412 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 44,47,412 . The biggest common factor number is the GCF number.
So the greatest common factor 44,47,412 is 1.

Lets's calculate LCM of 71,99,288

3 71, 99, 288
3 71, 33, 96
71, 11, 32

∴ So the LCM of the given numbers is 3 x 3 x 71 x 11 x 32 = 224928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/224928

Therefore, the GCF of Fractions 44/71,47/99,412/288 is 1/224928

Least Common Multiple of 71,99,288 with GCF Formula

Least Common Multiple of 71,99,288 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 71,99,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,99,288) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(71,99,288) x common factors =1 x 9 = 9

LCM(71,99,288) = ( 71 × 99 × 288 ) / 9

LCM(71,99,288) = 2024352 / 9

LCM(71,99,288) = 224928


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 44/71, 47/99, 412/288

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 44/71, 47/99, 412/288?

Answer: GCF of Numerators as per given numbers 44/71, 47/99, 412/288 is

GCF of Numerators i.e. for 44,47,412 is 1

LCM of denominators i.e. for 71,99,288 is 224928.

Thus, GCF of Fractions is 1/224928.Finally, GCF of Fractions for 44/71, 47/99, 412/288 is 1/224928.