Use our free GCF of Fractions Calculator tool to compute the GCF of 53/816, 81/4216 i.e 1/25296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/816, 81/4216.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/816,81/4216
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 53/816,81/4216, numerators are 53,81
Denominators are 816,4216
The GCF of 53,81 is 1 .
LCM of 816,4216 is 25296.
The greatest common factor of 53/816,81/4216 = [GCF of 53,81]/[LCM of 816,4216]= 1/25296
Therefore, the GCF of 53/816,81/4216 is 1/25296.
To find the highest common factor of 53,81, we have to find the factors of both numbers and list the highest common factor.
The factors of 53 are 1, 53
The factors of 81 are 1, 3, 9, 27, 81
The HCF of 53,81 is 1.
Lets's calculate GCF of 53,81
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 816,4216
2 | 816, 4216 |
2 | 408, 2108 |
2 | 204, 1054 |
17 | 102, 527 |
6, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 17 x 6 x 31 = 25296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25296
Therefore, the GCF of Fractions 53/816,81/4216 is 1/25296
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 816,4216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,4216) = 136
common factors(in case of two or more numbers have common factors) = 1
GCF(816,4216) x common factors =136 x 1 = 136
LCM(816,4216) = ( 816 × 4216 ) / 136
LCM(816,4216) = 3440256 / 136
LCM(816,4216) = 25296
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 53,81?
The HCF of 53,81 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 53/816, 81/4216?
Answer: GCF of Numerators as per given numbers 53/816, 81/4216 is
GCF of Numerators i.e. for 53,81 is 1
LCM of denominators i.e. for 816,4216 is 25296.
Thus, GCF of Fractions is 1/25296.Finally, GCF of Fractions for 53/816, 81/4216 is 1/25296.