Use our free GCF of Fractions Calculator tool to compute the GCF of 994/917, 168/599 i.e 14/549283 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/917, 168/599.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 994/917,168/599
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 994/917,168/599, numerators are 994,168
Denominators are 917,599
The GCF of 994,168 is 14 .
LCM of 917,599 is 549283.
The greatest common factor of 994/917,168/599 = [GCF of 994,168]/[LCM of 917,599]= 14/549283
Therefore, the GCF of 994/917,168/599 is 14/549283.
To find the highest common factor of 994,168, 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 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 994,168 is 14.
Lets's calculate GCF of 994,168
2 | 994, 168 |
7 | 497, 84 |
71, 12 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 994,168 . The biggest common factor number is the GCF number.
So the greatest common factor 994,168 is 14.
Lets's calculate LCM of 917,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 549283
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/549283
Therefore, the GCF of Fractions 994/917,168/599 is 14/549283
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 917,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,599) x common factors =1 x 1 = 1
LCM(917,599) = ( 917 × 599 ) / 1
LCM(917,599) = 549283 / 1
LCM(917,599) = 549283
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 994,168?
The HCF of 994,168 is 14
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 994/917, 168/599?
Answer: GCF of Numerators as per given numbers 994/917, 168/599 is
GCF of Numerators i.e. for 994,168 is 14
LCM of denominators i.e. for 917,599 is 549283.
Thus, GCF of Fractions is 14/549283.Finally, GCF of Fractions for 994/917, 168/599 is 14/549283.