Use our free GCF of Fractions Calculator tool to compute the GCF of 233/276, 5606/4112 i.e 1/283728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 233/276, 5606/4112.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 233/276,5606/4112
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 233/276,5606/4112, numerators are 233,5606
Denominators are 276,4112
The GCF of 233,5606 is 1 .
LCM of 276,4112 is 283728.
The greatest common factor of 233/276,5606/4112 = [GCF of 233,5606]/[LCM of 276,4112]= 1/283728
Therefore, the GCF of 233/276,5606/4112 is 1/283728.
To find the highest common factor of 233,5606, we have to find the factors of both numbers and list the highest common factor.
The factors of 233 are 1, 233
The factors of 5606 are 1, 2, 2803, 5606
The HCF of 233,5606 is 1.
Lets's calculate GCF of 233,5606
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 233
:1,233
Now, list down the factors of 5606
:1,2,2803,5606
Greatest Common Factor
We found the factors 233,5606 . The biggest common factor number is the GCF number.
So the greatest common factor 233,5606 is 1.
Lets's calculate LCM of 276,4112
2 | 276, 4112 |
2 | 138, 2056 |
69, 1028 |
∴ So the LCM of the given numbers is 2 x 2 x 69 x 1028 = 283728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283728
Therefore, the GCF of Fractions 233/276,5606/4112 is 1/283728
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 276,4112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(276,4112) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(276,4112) x common factors =4 x 1 = 4
LCM(276,4112) = ( 276 × 4112 ) / 4
LCM(276,4112) = 1134912 / 4
LCM(276,4112) = 283728
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 233,5606?
The HCF of 233,5606 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 233/276, 5606/4112?
Answer: GCF of Numerators as per given numbers 233/276, 5606/4112 is
GCF of Numerators i.e. for 233,5606 is 1
LCM of denominators i.e. for 276,4112 is 283728.
Thus, GCF of Fractions is 1/283728.Finally, GCF of Fractions for 233/276, 5606/4112 is 1/283728.