GCF of 81/20, 104/59, 392/231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/20, 104/59, 392/231 i.e 1/272580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/20, 104/59, 392/231.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 81/20,104/59,392/231?
Given fractions are 81/20,104/59,392/231
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 81/20,104/59,392/231, numerators are 81,104,392
Denominators are 20,59,231
The GCF of 81,104,392 is 1 .
LCM of 20,59,231 is 272580.
The greatest common factor of 81/20,104/59,392/231 = [GCF of 81,104,392]/[LCM of 20,59,231]= 1/272580
Therefore, the GCF of 81/20,104/59,392/231 is 1/272580.
To find the highest common factor of 81,104,392, we have to find the factors of both numbers and list the highest common factor.
The factors of 81 are 1, 3, 9, 27, 81
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
The HCF of 81,104,392 is 1.
Lets's calculate GCF of 81,104,392
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,104,392 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 392
:1,2,4,7,8,14,28,49,56,98,196,392
Greatest Common Factor
We found the factors 81,104,392 . The biggest common factor number is the GCF number.
So the greatest common factor 81,104,392 is 1.
Lets's calculate LCM of 20,59,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 272580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272580
Therefore, the GCF of Fractions 81/20,104/59,392/231 is 1/272580
Least Common Multiple of 20,59,231 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 20,59,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,59,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,59,231) x common factors =1 x 1 = 1
LCM(20,59,231) = ( 20 × 59 × 231 ) / 1
LCM(20,59,231) = 272580 / 1
LCM(20,59,231) = 272580
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FAQs on GCF of Fractions of 81/20, 104/59, 392/231
1. What is the HCF of 81,104,392?
The HCF of 81,104,392 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 81/20, 104/59, 392/231?
Answer: GCF of Numerators as per given numbers 81/20, 104/59, 392/231 is
GCF of Numerators i.e. for 81,104,392 is 1
LCM of denominators i.e. for 20,59,231 is 272580.
Thus, GCF of Fractions is 1/272580.Finally, GCF of Fractions for 81/20, 104/59, 392/231 is 1/272580.