Use our free GCF of Fractions Calculator tool to compute the GCF of 21/93, 816/68, 132/915 i.e 3/1928820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 21/93, 816/68, 132/915.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/93,816/68,132/915
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 21/93,816/68,132/915, numerators are 21,816,132
Denominators are 93,68,915
The GCF of 21,816,132 is 3 .
LCM of 93,68,915 is 1928820.
The greatest common factor of 21/93,816/68,132/915 = [GCF of 21,816,132]/[LCM of 93,68,915]= 3/1928820
Therefore, the GCF of 21/93,816/68,132/915 is 3/1928820.
To find the highest common factor of 21,816,132, we have to find the factors of both numbers and list the highest common factor.
The factors of 21 are 1, 3, 7, 21
The factors of 816 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
The factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
The HCF of 21,816,132 is 3.
Lets's calculate GCF of 21,816,132
3 | 21, 816, 132 |
7, 272, 44 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 21
:1,3,7,21
Now, list down the factors of 816
:1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Now, list down the factors of 132
:1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 21,816,132 . The biggest common factor number is the GCF number.
So the greatest common factor 21,816,132 is 3.
Lets's calculate LCM of 93,68,915
3 | 93, 68, 915 |
31, 68, 305 |
∴ So the LCM of the given numbers is 3 x 31 x 68 x 305 = 1928820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1928820
Therefore, the GCF of Fractions 21/93,816/68,132/915 is 3/1928820
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 93,68,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,68,915) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(93,68,915) x common factors =1 x 3 = 3
LCM(93,68,915) = ( 93 × 68 × 915 ) / 3
LCM(93,68,915) = 5786460 / 3
LCM(93,68,915) = 1928820
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 21,816,132?
The HCF of 21,816,132 is 3
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 21/93, 816/68, 132/915?
Answer: GCF of Numerators as per given numbers 21/93, 816/68, 132/915 is
GCF of Numerators i.e. for 21,816,132 is 3
LCM of denominators i.e. for 93,68,915 is 1928820.
Thus, GCF of Fractions is 3/1928820.Finally, GCF of Fractions for 21/93, 816/68, 132/915 is 3/1928820.