Use our free GCF of Fractions Calculator tool to compute the GCF of 28/891, 64/792, 716/294 i.e 4/349272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/891, 64/792, 716/294.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/891,64/792,716/294
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 28/891,64/792,716/294, numerators are 28,64,716
Denominators are 891,792,294
The GCF of 28,64,716 is 4 .
LCM of 891,792,294 is 349272.
The greatest common factor of 28/891,64/792,716/294 = [GCF of 28,64,716]/[LCM of 891,792,294]= 4/349272
Therefore, the GCF of 28/891,64/792,716/294 is 4/349272.
To find the highest common factor of 28,64,716, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 716 are 1, 2, 4, 179, 358, 716
The HCF of 28,64,716 is 4.
Lets's calculate GCF of 28,64,716
2 | 28, 64, 716 |
2 | 14, 32, 358 |
7, 16, 179 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 716
:1,2,4,179,358,716
Greatest Common Factor
We found the factors 28,64,716 . The biggest common factor number is the GCF number.
So the greatest common factor 28,64,716 is 4.
Lets's calculate LCM of 891,792,294
2 | 891, 792, 294 |
3 | 891, 396, 147 |
3 | 297, 132, 49 |
11 | 99, 44, 49 |
9, 4, 49 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 9 x 4 x 49 = 349272
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/349272
Therefore, the GCF of Fractions 28/891,64/792,716/294 is 4/349272
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 891,792,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,792,294) = 3
common factors(in case of two or more numbers have common factors) = 198
GCF(891,792,294) x common factors =3 x 198 = 594
LCM(891,792,294) = ( 891 × 792 × 294 ) / 594
LCM(891,792,294) = 207467568 / 594
LCM(891,792,294) = 349272
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,64,716?
The HCF of 28,64,716 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 28/891, 64/792, 716/294?
Answer: GCF of Numerators as per given numbers 28/891, 64/792, 716/294 is
GCF of Numerators i.e. for 28,64,716 is 4
LCM of denominators i.e. for 891,792,294 is 349272.
Thus, GCF of Fractions is 4/349272.Finally, GCF of Fractions for 28/891, 64/792, 716/294 is 4/349272.