Use our free GCF of Fractions Calculator tool to compute the GCF of 88/407, 16/752, 994/176 i.e 2/306064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/407, 16/752, 994/176.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/407,16/752,994/176
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 88/407,16/752,994/176, numerators are 88,16,994
Denominators are 407,752,176
The GCF of 88,16,994 is 2 .
LCM of 407,752,176 is 306064.
The greatest common factor of 88/407,16/752,994/176 = [GCF of 88,16,994]/[LCM of 407,752,176]= 2/306064
Therefore, the GCF of 88/407,16/752,994/176 is 2/306064.
To find the highest common factor of 88,16,994, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 16 are 1, 2, 4, 8, 16
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The HCF of 88,16,994 is 2.
Lets's calculate GCF of 88,16,994
2 | 88, 16, 994 |
44, 8, 497 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 16
:1,2,4,8,16
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 88,16,994 . The biggest common factor number is the GCF number.
So the greatest common factor 88,16,994 is 2.
Lets's calculate LCM of 407,752,176
2 | 407, 752, 176 |
2 | 407, 376, 88 |
2 | 407, 188, 44 |
2 | 407, 94, 22 |
11 | 407, 47, 11 |
37, 47, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 37 x 47 x 1 = 306064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306064
Therefore, the GCF of Fractions 88/407,16/752,994/176 is 2/306064
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 407,752,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,752,176) = 1
common factors(in case of two or more numbers have common factors) = 176
GCF(407,752,176) x common factors =1 x 176 = 176
LCM(407,752,176) = ( 407 × 752 × 176 ) / 176
LCM(407,752,176) = 53867264 / 176
LCM(407,752,176) = 306064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,16,994?
The HCF of 88,16,994 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 88/407, 16/752, 994/176?
Answer: GCF of Numerators as per given numbers 88/407, 16/752, 994/176 is
GCF of Numerators i.e. for 88,16,994 is 2
LCM of denominators i.e. for 407,752,176 is 306064.
Thus, GCF of Fractions is 2/306064.Finally, GCF of Fractions for 88/407, 16/752, 994/176 is 2/306064.