Use our free GCF of Fractions Calculator tool to compute the GCF of 88/304, 32/725, 164/994 i.e 4/109538800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/304, 32/725, 164/994.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/304,32/725,164/994
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 88/304,32/725,164/994, numerators are 88,32,164
Denominators are 304,725,994
The GCF of 88,32,164 is 4 .
LCM of 304,725,994 is 109538800.
The greatest common factor of 88/304,32/725,164/994 = [GCF of 88,32,164]/[LCM of 304,725,994]= 4/109538800
Therefore, the GCF of 88/304,32/725,164/994 is 4/109538800.
To find the highest common factor of 88,32,164, 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 32 are 1, 2, 4, 8, 16, 32
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 88,32,164 is 4.
Lets's calculate GCF of 88,32,164
2 | 88, 32, 164 |
2 | 44, 16, 82 |
22, 8, 41 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 32
:1,2,4,8,16,32
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 88,32,164 . The biggest common factor number is the GCF number.
So the greatest common factor 88,32,164 is 4.
Lets's calculate LCM of 304,725,994
2 | 304, 725, 994 |
152, 725, 497 |
∴ So the LCM of the given numbers is 2 x 152 x 725 x 497 = 109538800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/109538800
Therefore, the GCF of Fractions 88/304,32/725,164/994 is 4/109538800
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 304,725,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,725,994) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(304,725,994) x common factors =1 x 2 = 2
LCM(304,725,994) = ( 304 × 725 × 994 ) / 2
LCM(304,725,994) = 219077600 / 2
LCM(304,725,994) = 109538800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,32,164?
The HCF of 88,32,164 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 88/304, 32/725, 164/994?
Answer: GCF of Numerators as per given numbers 88/304, 32/725, 164/994 is
GCF of Numerators i.e. for 88,32,164 is 4
LCM of denominators i.e. for 304,725,994 is 109538800.
Thus, GCF of Fractions is 4/109538800.Finally, GCF of Fractions for 88/304, 32/725, 164/994 is 4/109538800.