Use our free GCF of Fractions Calculator tool to compute the GCF of 994/361, 816/125 i.e 2/45125 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/361, 816/125.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/361,816/125
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 994/361,816/125, numerators are 994,816
Denominators are 361,125
The GCF of 994,816 is 2 .
LCM of 361,125 is 45125.
The greatest common factor of 994/361,816/125 = [GCF of 994,816]/[LCM of 361,125]= 2/45125
Therefore, the GCF of 994/361,816/125 is 2/45125.
To find the highest common factor of 994,816, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
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 HCF of 994,816 is 2.
Lets's calculate GCF of 994,816
2 | 994, 816 |
497, 408 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
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
Greatest Common Factor
We found the factors 994,816 . The biggest common factor number is the GCF number.
So the greatest common factor 994,816 is 2.
Lets's calculate LCM of 361,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 45125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/45125
Therefore, the GCF of Fractions 994/361,816/125 is 2/45125
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 361,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,125) x common factors =1 x 1 = 1
LCM(361,125) = ( 361 × 125 ) / 1
LCM(361,125) = 45125 / 1
LCM(361,125) = 45125
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,816?
The HCF of 994,816 is 2
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 994/361, 816/125?
Answer: GCF of Numerators as per given numbers 994/361, 816/125 is
GCF of Numerators i.e. for 994,816 is 2
LCM of denominators i.e. for 361,125 is 45125.
Thus, GCF of Fractions is 2/45125.Finally, GCF of Fractions for 994/361, 816/125 is 2/45125.