Use our free GCF of Fractions Calculator tool to compute the GCF of 88/723, 44/964, 737/254 i.e 11/367284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/723, 44/964, 737/254.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/723,44/964,737/254
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 88/723,44/964,737/254, numerators are 88,44,737
Denominators are 723,964,254
The GCF of 88,44,737 is 11 .
LCM of 723,964,254 is 367284.
The greatest common factor of 88/723,44/964,737/254 = [GCF of 88,44,737]/[LCM of 723,964,254]= 11/367284
Therefore, the GCF of 88/723,44/964,737/254 is 11/367284.
To find the highest common factor of 88,44,737, 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 44 are 1, 2, 4, 11, 22, 44
The factors of 737 are 1, 11, 67, 737
The HCF of 88,44,737 is 11.
Lets's calculate GCF of 88,44,737
11 | 88, 44, 737 |
8, 4, 67 |
∴ So the GCF of the given numbers is 11 = 11
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 737
:1,11,67,737
Greatest Common Factor
We found the factors 88,44,737 . The biggest common factor number is the GCF number.
So the greatest common factor 88,44,737 is 11.
Lets's calculate LCM of 723,964,254
2 | 723, 964, 254 |
241 | 723, 482, 127 |
3, 2, 127 |
∴ So the LCM of the given numbers is 2 x 241 x 3 x 2 x 127 = 367284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/367284
Therefore, the GCF of Fractions 88/723,44/964,737/254 is 11/367284
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 723,964,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,964,254) = 1
common factors(in case of two or more numbers have common factors) = 482
GCF(723,964,254) x common factors =1 x 482 = 482
LCM(723,964,254) = ( 723 × 964 × 254 ) / 482
LCM(723,964,254) = 177030888 / 482
LCM(723,964,254) = 367284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,44,737?
The HCF of 88,44,737 is 11
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 88/723, 44/964, 737/254?
Answer: GCF of Numerators as per given numbers 88/723, 44/964, 737/254 is
GCF of Numerators i.e. for 88,44,737 is 11
LCM of denominators i.e. for 723,964,254 is 367284.
Thus, GCF of Fractions is 11/367284.Finally, GCF of Fractions for 88/723, 44/964, 737/254 is 11/367284.