Use our free GCF of Fractions Calculator tool to compute the GCF of 848/789, 318/411 i.e 106/108093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 848/789, 318/411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 848/789,318/411
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 848/789,318/411, numerators are 848,318
Denominators are 789,411
The GCF of 848,318 is 106 .
LCM of 789,411 is 108093.
The greatest common factor of 848/789,318/411 = [GCF of 848,318]/[LCM of 789,411]= 106/108093
Therefore, the GCF of 848/789,318/411 is 106/108093.
To find the highest common factor of 848,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 848 are 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 848,318 is 106.
Lets's calculate GCF of 848,318
2 | 848, 318 |
53 | 424, 159 |
8, 3 |
∴ So the GCF of the given numbers is 2 x 53 = 106
Now, list down the factors of 848
:1,2,4,8,16,53,106,212,424,848
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 848,318 . The biggest common factor number is the GCF number.
So the greatest common factor 848,318 is 106.
Lets's calculate LCM of 789,411
3 | 789, 411 |
263, 137 |
∴ So the LCM of the given numbers is 3 x 263 x 137 = 108093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 106/108093
Therefore, the GCF of Fractions 848/789,318/411 is 106/108093
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 789,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,411) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,411) x common factors =3 x 1 = 3
LCM(789,411) = ( 789 × 411 ) / 3
LCM(789,411) = 324279 / 3
LCM(789,411) = 108093
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 848,318?
The HCF of 848,318 is 106
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 848/789, 318/411?
Answer: GCF of Numerators as per given numbers 848/789, 318/411 is
GCF of Numerators i.e. for 848,318 is 106
LCM of denominators i.e. for 789,411 is 108093.
Thus, GCF of Fractions is 106/108093.Finally, GCF of Fractions for 848/789, 318/411 is 106/108093.