Use our free GCF of Fractions Calculator tool to compute the GCF of 81/227, 286/972, 480/410 i.e 1/45232020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/227, 286/972, 480/410.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/227,286/972,480/410
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 81/227,286/972,480/410, numerators are 81,286,480
Denominators are 227,972,410
The GCF of 81,286,480 is 1 .
LCM of 227,972,410 is 45232020.
The greatest common factor of 81/227,286/972,480/410 = [GCF of 81,286,480]/[LCM of 227,972,410]= 1/45232020
Therefore, the GCF of 81/227,286/972,480/410 is 1/45232020.
To find the highest common factor of 81,286,480, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286
The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
The HCF of 81,286,480 is 1.
Lets's calculate GCF of 81,286,480
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Now, list down the factors of 480
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 81,286,480 . The biggest common factor number is the GCF number.
So the greatest common factor 81,286,480 is 1.
Lets's calculate LCM of 227,972,410
2 | 227, 972, 410 |
227, 486, 205 |
∴ So the LCM of the given numbers is 2 x 227 x 486 x 205 = 45232020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45232020
Therefore, the GCF of Fractions 81/227,286/972,480/410 is 1/45232020
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 227,972,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,972,410) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(227,972,410) x common factors =1 x 2 = 2
LCM(227,972,410) = ( 227 × 972 × 410 ) / 2
LCM(227,972,410) = 90464040 / 2
LCM(227,972,410) = 45232020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 81,286,480?
The HCF of 81,286,480 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 81/227, 286/972, 480/410?
Answer: GCF of Numerators as per given numbers 81/227, 286/972, 480/410 is
GCF of Numerators i.e. for 81,286,480 is 1
LCM of denominators i.e. for 227,972,410 is 45232020.
Thus, GCF of Fractions is 1/45232020.Finally, GCF of Fractions for 81/227, 286/972, 480/410 is 1/45232020.