Use our free GCF of Fractions Calculator tool to compute the GCF of 28/94, 388/24, 294/313 i.e 2/353064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/94, 388/24, 294/313.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 28/94,388/24,294/313
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 28/94,388/24,294/313, numerators are 28,388,294
Denominators are 94,24,313
The GCF of 28,388,294 is 2 .
LCM of 94,24,313 is 353064.
The greatest common factor of 28/94,388/24,294/313 = [GCF of 28,388,294]/[LCM of 94,24,313]= 2/353064
Therefore, the GCF of 28/94,388/24,294/313 is 2/353064.
To find the highest common factor of 28,388,294, 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 388 are 1, 2, 4, 97, 194, 388
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The HCF of 28,388,294 is 2.
Lets's calculate GCF of 28,388,294
2 | 28, 388, 294 |
14, 194, 147 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 388
:1,2,4,97,194,388
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 28,388,294 . The biggest common factor number is the GCF number.
So the greatest common factor 28,388,294 is 2.
Lets's calculate LCM of 94,24,313
2 | 94, 24, 313 |
47, 12, 313 |
∴ So the LCM of the given numbers is 2 x 47 x 12 x 313 = 353064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353064
Therefore, the GCF of Fractions 28/94,388/24,294/313 is 2/353064
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 94,24,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,24,313) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,24,313) x common factors =1 x 2 = 2
LCM(94,24,313) = ( 94 × 24 × 313 ) / 2
LCM(94,24,313) = 706128 / 2
LCM(94,24,313) = 353064
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 28,388,294?
The HCF of 28,388,294 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 28/94, 388/24, 294/313?
Answer: GCF of Numerators as per given numbers 28/94, 388/24, 294/313 is
GCF of Numerators i.e. for 28,388,294 is 2
LCM of denominators i.e. for 94,24,313 is 353064.
Thus, GCF of Fractions is 2/353064.Finally, GCF of Fractions for 28/94, 388/24, 294/313 is 2/353064.