Greatest Common Factor of 320/89, 445/44, 521/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 320/89, 445/44, 521/99

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 320/89,445/44,521/99

Given fractions are 320/89,445/44,521/99

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 320,445,521

Greatest Common Factor of Numerators i.e. GCF of 320,445,521 is 1 .

LCM of Denominators means LCM of 89,44,99 as per the given fractions.

LCM of 89,44,99 is 35244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 320,445,521

GCF of Fractions 320/89,445/44,521/99 is 1/35244

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

Greatest Common Factor of 320,445,521 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,445,521 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1,521

Greatest Common Factor

We found the factors 320,445,521 . The biggest common factor number is the GCF number.
So the greatest common factor 320,445,521 is 1.

Lets's calculate LCM of 89,44,99

11 89, 44, 99
89, 4, 9

∴ So the LCM of the given numbers is 11 x 89 x 4 x 9 = 35244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35244

Therefore, the GCF of Fractions 320/89,445/44,521/99 is 1/35244

Least Common Multiple of 89,44,99 with GCF Formula

Least Common Multiple of 89,44,99 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 89,44,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,44,99) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(89,44,99) x common factors =1 x 11 = 11

LCM(89,44,99) = ( 89 × 44 × 99 ) / 11

LCM(89,44,99) = 387684 / 11

LCM(89,44,99) = 35244


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 320/89, 445/44, 521/99

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 320/89, 445/44, 521/99?

Answer: GCF of Numerators as per given numbers 320/89, 445/44, 521/99 is

GCF of Numerators i.e. for 320,445,521 is 1

LCM of denominators i.e. for 89,44,99 is 35244.

Thus, GCF of Fractions is 1/35244.Finally, GCF of Fractions for 320/89, 445/44, 521/99 is 1/35244.