Use our free GCF of Fractions Calculator tool to compute the GCF of 88/726, 44/382, 682/768 i.e 22/17749248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/726, 44/382, 682/768.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/726,44/382,682/768
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 88/726,44/382,682/768, numerators are 88,44,682
Denominators are 726,382,768
The GCF of 88,44,682 is 22 .
LCM of 726,382,768 is 17749248.
The greatest common factor of 88/726,44/382,682/768 = [GCF of 88,44,682]/[LCM of 726,382,768]= 22/17749248
Therefore, the GCF of 88/726,44/382,682/768 is 22/17749248.
To find the highest common factor of 88,44,682, 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 682 are 1, 2, 11, 22, 31, 62, 341, 682
The HCF of 88,44,682 is 22.
Lets's calculate GCF of 88,44,682
2 | 88, 44, 682 |
11 | 44, 22, 341 |
4, 2, 31 |
∴ So the GCF of the given numbers is 2 x 11 = 22
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 682
:1,2,11,22,31,62,341,682
Greatest Common Factor
We found the factors 88,44,682 . The biggest common factor number is the GCF number.
So the greatest common factor 88,44,682 is 22.
Lets's calculate LCM of 726,382,768
2 | 726, 382, 768 |
3 | 363, 191, 384 |
121, 191, 128 |
∴ So the LCM of the given numbers is 2 x 3 x 121 x 191 x 128 = 17749248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/17749248
Therefore, the GCF of Fractions 88/726,44/382,682/768 is 22/17749248
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 726,382,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,382,768) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(726,382,768) x common factors =2 x 6 = 12
LCM(726,382,768) = ( 726 × 382 × 768 ) / 12
LCM(726,382,768) = 212990976 / 12
LCM(726,382,768) = 17749248
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,44,682?
The HCF of 88,44,682 is 22
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 88/726, 44/382, 682/768?
Answer: GCF of Numerators as per given numbers 88/726, 44/382, 682/768 is
GCF of Numerators i.e. for 88,44,682 is 22
LCM of denominators i.e. for 726,382,768 is 17749248.
Thus, GCF of Fractions is 22/17749248.Finally, GCF of Fractions for 88/726, 44/382, 682/768 is 22/17749248.