Greatest Common Factor of 81/16, 32/78, 889/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/16, 32/78, 889/362

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 81/16,32/78,889/362

Given fractions are 81/16,32/78,889/362

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 81,32,889

Greatest Common Factor of Numerators i.e. GCF of 81,32,889 is 1 .

LCM of Denominators means LCM of 16,78,362 as per the given fractions.

LCM of 16,78,362 is 112944 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,32,889

GCF of Fractions 81/16,32/78,889/362 is 1/112944

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

Greatest Common Factor of 81,32,889 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,32,889 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Greatest Common Factor

We found the factors 81,32,889 . The biggest common factor number is the GCF number.
So the greatest common factor 81,32,889 is 1.

Lets's calculate LCM of 16,78,362

2 16, 78, 362
8, 39, 181

∴ So the LCM of the given numbers is 2 x 8 x 39 x 181 = 112944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112944

Therefore, the GCF of Fractions 81/16,32/78,889/362 is 1/112944

Least Common Multiple of 16,78,362 with GCF Formula

Least Common Multiple of 16,78,362 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 16,78,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,78,362) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(16,78,362) x common factors =2 x 2 = 4

LCM(16,78,362) = ( 16 × 78 × 362 ) / 4

LCM(16,78,362) = 451776 / 4

LCM(16,78,362) = 112944


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 81/16, 32/78, 889/362

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 81/16, 32/78, 889/362?

Answer: GCF of Numerators as per given numbers 81/16, 32/78, 889/362 is

GCF of Numerators i.e. for 81,32,889 is 1

LCM of denominators i.e. for 16,78,362 is 112944.

Thus, GCF of Fractions is 1/112944.Finally, GCF of Fractions for 81/16, 32/78, 889/362 is 1/112944.