Use our free GCF of Fractions Calculator tool to compute the GCF of 733/578, 616/984 i.e 1/284376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 733/578, 616/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 733/578,616/984
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 733/578,616/984, numerators are 733,616
Denominators are 578,984
The GCF of 733,616 is 1 .
LCM of 578,984 is 284376.
The greatest common factor of 733/578,616/984 = [GCF of 733,616]/[LCM of 578,984]= 1/284376
Therefore, the GCF of 733/578,616/984 is 1/284376.
To find the highest common factor of 733,616, we have to find the factors of both numbers and list the highest common factor.
The factors of 733 are 1, 733
The factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
The HCF of 733,616 is 1.
Lets's calculate GCF of 733,616
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 733
:1,733
Now, list down the factors of 616
:1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Greatest Common Factor
We found the factors 733,616 . The biggest common factor number is the GCF number.
So the greatest common factor 733,616 is 1.
Lets's calculate LCM of 578,984
2 | 578, 984 |
289, 492 |
∴ So the LCM of the given numbers is 2 x 289 x 492 = 284376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/284376
Therefore, the GCF of Fractions 733/578,616/984 is 1/284376
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 578,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,984) x common factors =2 x 1 = 2
LCM(578,984) = ( 578 × 984 ) / 2
LCM(578,984) = 568752 / 2
LCM(578,984) = 284376
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 733,616?
The HCF of 733,616 is 1
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 733/578, 616/984?
Answer: GCF of Numerators as per given numbers 733/578, 616/984 is
GCF of Numerators i.e. for 733,616 is 1
LCM of denominators i.e. for 578,984 is 284376.
Thus, GCF of Fractions is 1/284376.Finally, GCF of Fractions for 733/578, 616/984 is 1/284376.