Use our free GCF of Fractions Calculator tool to compute the GCF of 612/791, 368/904 i.e 4/6328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/791, 368/904.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 612/791,368/904
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 612/791,368/904, numerators are 612,368
Denominators are 791,904
The GCF of 612,368 is 4 .
LCM of 791,904 is 6328.
The greatest common factor of 612/791,368/904 = [GCF of 612,368]/[LCM of 791,904]= 4/6328
Therefore, the GCF of 612/791,368/904 is 4/6328.
To find the highest common factor of 612,368, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
The HCF of 612,368 is 4.
Lets's calculate GCF of 612,368
2 | 612, 368 |
2 | 306, 184 |
153, 92 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Now, list down the factors of 368
:1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 612,368 . The biggest common factor number is the GCF number.
So the greatest common factor 612,368 is 4.
Lets's calculate LCM of 791,904
113 | 791, 904 |
7, 8 |
∴ So the LCM of the given numbers is 113 x 7 x 8 = 6328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6328
Therefore, the GCF of Fractions 612/791,368/904 is 4/6328
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 791,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,904) = 113
common factors(in case of two or more numbers have common factors) = 1
GCF(791,904) x common factors =113 x 1 = 113
LCM(791,904) = ( 791 × 904 ) / 113
LCM(791,904) = 715064 / 113
LCM(791,904) = 6328
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 612,368?
The HCF of 612,368 is 4
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 612/791, 368/904?
Answer: GCF of Numerators as per given numbers 612/791, 368/904 is
GCF of Numerators i.e. for 612,368 is 4
LCM of denominators i.e. for 791,904 is 6328.
Thus, GCF of Fractions is 4/6328.Finally, GCF of Fractions for 612/791, 368/904 is 4/6328.