Greatest Common Factor of 89/87, 44/11, 18/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/87, 44/11, 18/561

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 89/87,44/11,18/561

Given fractions are 89/87,44/11,18/561

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 89,44,18

Greatest Common Factor of Numerators i.e. GCF of 89,44,18 is 1 .

LCM of Denominators means LCM of 87,11,561 as per the given fractions.

LCM of 87,11,561 is 16269 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,44,18

GCF of Fractions 89/87,44/11,18/561 is 1/16269

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

Greatest Common Factor of 89,44,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,44,18 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 44

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

1,2,4,11,22,44

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 89,44,18 . The biggest common factor number is the GCF number.
So the greatest common factor 89,44,18 is 1.

Lets's calculate LCM of 87,11,561

3 87, 11, 561
11 29, 11, 187
29, 1, 17

∴ So the LCM of the given numbers is 3 x 11 x 29 x 1 x 17 = 16269

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16269

Therefore, the GCF of Fractions 89/87,44/11,18/561 is 1/16269

Least Common Multiple of 87,11,561 with GCF Formula

Least Common Multiple of 87,11,561 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 87,11,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,11,561) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(87,11,561) x common factors =1 x 33 = 33

LCM(87,11,561) = ( 87 × 11 × 561 ) / 33

LCM(87,11,561) = 536877 / 33

LCM(87,11,561) = 16269


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 89/87, 44/11, 18/561

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 89/87, 44/11, 18/561?

Answer: GCF of Numerators as per given numbers 89/87, 44/11, 18/561 is

GCF of Numerators i.e. for 89,44,18 is 1

LCM of denominators i.e. for 87,11,561 is 16269.

Thus, GCF of Fractions is 1/16269.Finally, GCF of Fractions for 89/87, 44/11, 18/561 is 1/16269.