GCF of 81/815, 23/901, 364/725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 81/815, 23/901, 364/725 i.e 1/106475675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/815, 23/901, 364/725.
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 81/815,23/901,364/725?
Given fractions are 81/815,23/901,364/725
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 81/815,23/901,364/725, numerators are 81,23,364
Denominators are 815,901,725
The GCF of 81,23,364 is 1 .
LCM of 815,901,725 is 106475675.
The greatest common factor of 81/815,23/901,364/725 = [GCF of 81,23,364]/[LCM of 815,901,725]= 1/106475675
Therefore, the GCF of 81/815,23/901,364/725 is 1/106475675.
To find the highest common factor of 81,23,364, 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 23 are 1, 23
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The HCF of 81,23,364 is 1.
Lets's calculate GCF of 81,23,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 81,23,364 By Matching Biggest Common Factor Method
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 23
:1,23
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 81,23,364 . The biggest common factor number is the GCF number.
So the greatest common factor 81,23,364 is 1.
Lets's calculate LCM of 815,901,725
| 5 | 815, 901, 725 |
| 163, 901, 145 |
∴ So the LCM of the given numbers is 5 x 163 x 901 x 145 = 106475675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106475675
Therefore, the GCF of Fractions 81/815,23/901,364/725 is 1/106475675
Least Common Multiple of 815,901,725 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 815,901,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(815,901,725) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(815,901,725) x common factors =1 x 5 = 5
LCM(815,901,725) = ( 815 × 901 × 725 ) / 5
LCM(815,901,725) = 532378375 / 5
LCM(815,901,725) = 106475675
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FAQs on GCF of Fractions of 81/815, 23/901, 364/725
1. What is the HCF of 81,23,364?
The HCF of 81,23,364 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 81/815, 23/901, 364/725?
Answer: GCF of Numerators as per given numbers 81/815, 23/901, 364/725 is
GCF of Numerators i.e. for 81,23,364 is 1
LCM of denominators i.e. for 815,901,725 is 106475675.
Thus, GCF of Fractions is 1/106475675.Finally, GCF of Fractions for 81/815, 23/901, 364/725 is 1/106475675.